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30042220241040 = 2435723417638733
BaseRepresentation
bin1101101010010101111111…
…10111011010000010010000
310221101000012222112020010020
412311022333313122002100
512414202431340203130
6143521112213303440
76220323136461030
oct665127767320220
9127330188466106
1030042220241040
11963291a144047
123452472934b80
13139bc7a48c1b7
1475c0a07838c0
15371701679e10
hex1b52bfdda090

30042220241040 has 160 divisors (see below), whose sum is σ = 106480774246656. Its totient is φ = 6863859025920.

The previous prime is 30042220240931. The next prime is 30042220241051. The reversal of 30042220241040 is 4014202224003.

30042220241040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×300422202410402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30042220241040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113514 + ... + 7752246.

Almost surely, 230042220241040 is an apocalyptic number.

30042220241040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30042220241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53240387123328).

30042220241040 is an abundant number, since it is smaller than the sum of its proper divisors (76438554005616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30042220241040 is a wasteful number, since it uses less digits than its factorization.

30042220241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641097 (or 7641091 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30042220241040 its reverse (4014202224003), we get a palindrome (34056422465043).

The spelling of 30042220241040 in words is "thirty trillion, forty-two billion, two hundred twenty million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2341 4682 7023 9364 11705 14046 16387 18728 23410 28092 32774 35115 37456 46820 49161 56184 65548 70230 81935 93640 98322 112368 131096 140460 163870 187280 196644 245805 262192 280920 327740 393288 491610 561840 655480 786576 983220 1310960 1966440 3932880 7638733 15277466 22916199 30554932 38193665 45832398 53471131 61109864 76387330 91664796 106942262 114580995 122219728 152774660 160413393 183329592 213884524 229161990 267355655 305549320 320826786 366659184 427769048 458323980 534711310 611098640 641653572 802066965 855538096 916647960 1069422620 1283307144 1604133930 1833295920 2138845240 2566614288 3208267860 4277690480 6416535720 12833071440 17882273953 35764547906 53646821859 71529095812 89411369765 107293643718 125175917671 143058191624 178822739530 214587287436 250351835342 268234109295 286116383248 357645479060 375527753013 429174574872 500703670684 536468218590 625879588355 715290958120 751055506026 858349149744 1001407341368 1072936437180 1251759176710 1430581916240 1502111012052 1877638765065 2002814682736 2145872874360 2503518353420 3004222024104 3755277530130 4291745748720 5007036706840 6008444048208 7510555060260 10014073413680 15021110120520 30042220241040