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244112111040 = 2635736326207
BaseRepresentation
bin1110001101011000110…
…1110011010111000000
3212100002121000002212210
43203112031303113000
512444420200023130
6304051001422120
723431216464510
oct3432615632700
9770077002783
10244112111040
1194588a17116
123b38879a940
131a0342b7325
14bb5a867840
15653ae795b0
hex38d63735c0

244112111040 has 112 divisors (see below), whose sum is σ = 885778255872. Its totient is φ = 55797052416.

The previous prime is 244112111003. The next prime is 244112111083. The reversal of 244112111040 is 40111211442.

244112111040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 244112110998 and 244112111016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18156384 + ... + 18169823.

Almost surely, 2244112111040 is an apocalyptic number.

244112111040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244112111040 is an abundant number, since it is smaller than the sum of its proper divisors (641666144832).

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

244112111040 is a wasteful number, since it uses less digits than its factorization.

244112111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36326234 (or 36326224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 244112111040 its reverse (40111211442), we get a palindrome (284223322482).

The spelling of 244112111040 in words is "two hundred forty-four billion, one hundred twelve million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 36326207 72652414 108978621 145304828 181631035 217957242 254283449 290609656 363262070 435914484 508566898 544893105 581219312 726524140 762850347 871828968 1017133796 1089786210 1162438624 1271417245 1453048280 1525700694 1743657936 2034267592 2179572420 2324877248 2542834490 2906096560 3051401388 3487315872 3814251735 4068535184 4359144840 5085668980 5812193120 6102802776 6974631744 7628503470 8137070368 8718289680 10171337960 11624386240 12205605552 15257006940 16274140736 17436579360 20342675920 24411211104 30514013880 34873158720 40685351840 48822422208 61028027760 81370703680 122056055520 244112111040