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141553331040 = 25351122437213
BaseRepresentation
bin1000001111010100111…
…1000110101101100000
3111112101002120021100110
42003311033012231200
54304400123043130
6145010111051320
713140552314142
oct2036517065540
9445332507313
10141553331040
115503a18a800
1223525b10b40
131046b6378a4
146bcba54c92
153a372a2ab0
hex20f53c6b60

141553331040 has 144 divisors (see below), whose sum is σ = 490113986544. Its totient is φ = 34315944960.

The previous prime is 141553331039. The next prime is 141553331057. The reversal of 141553331040 is 40133355141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141553330989 and 141553331007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160527 + ... + 1276686.

It is an arithmetic number, because the mean of its divisors is an integer number (3403569351).

Almost surely, 2141553331040 is an apocalyptic number.

141553331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141553331040 is an abundant number, since it is smaller than the sum of its proper divisors (348560655504).

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

141553331040 is a wasteful number, since it uses less digits than its factorization.

141553331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437253 (or 2437234 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 141553331040 its reverse (40133355141), we get a palindrome (181686686181).

The spelling of 141553331040 in words is "one hundred forty-one billion, five hundred fifty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 2437213 4874426 7311639 9748852 12186065 14623278 19497704 24372130 26809343 29246556 36558195 38995408 48744260 53618686 58493112 73116390 77990816 80428029 97488520 107237372 116986224 134046715 146232780 160856058 194977040 214474744 233972448 268093430 292465560 294902773 321712116 389954080 402140145 428949488 536186860 584931120 589805546 643424232 804280290 857898976 884708319 1072373720 1169862240 1179611092 1286848464 1474513865 1608560580 1769416638 2144747440 2359222184 2573696928 2949027730 3217121160 3538833276 4289494880 4423541595 4718444368 5898055460 6434242320 7077666552 8847083190 9436888736 11796110920 12868484640 14155333104 17694166380 23592221840 28310666208 35388332760 47184443680 70776665520 141553331040