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10155144440 = 2357675211039
BaseRepresentation
bin10010111010100101…
…10011010011111000
3222012201200210021202
421131102303103320
5131244204110230
64355403553332
7506440206050
oct113522632370
928181623252
1010155144440
114341350361
121b74b2b848
13c5ab9ab0c
146c49ca560
153e6806a45
hex25d4b34f8

10155144440 has 128 divisors (see below), whose sum is σ = 26579404800. Its totient is φ = 3419919360.

The previous prime is 10155144421. The next prime is 10155144443. The reversal of 10155144440 is 4444155101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10155144443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9773441 + ... + 9774479.

It is an arithmetic number, because the mean of its divisors is an integer number (207651600).

Almost surely, 210155144440 is an apocalyptic number.

10155144440 is a gapful number since it is divisible by the number (10) 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 10155144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289702400).

10155144440 is an abundant number, since it is smaller than the sum of its proper divisors (16424260360).

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

10155144440 is a wasteful number, since it uses less digits than its factorization.

10155144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 10155144440 its reverse (4444155101), we get a palindrome (14599299541).

The spelling of 10155144440 in words is "ten billion, one hundred fifty-five million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 521 536 670 938 1039 1042 1340 1876 2078 2084 2345 2605 2680 3647 3752 4156 4168 4690 5195 5210 7273 7294 8312 9380 10390 10420 14546 14588 18235 18760 20780 20840 29092 29176 34907 36365 36470 41560 58184 69613 69814 72730 72940 139226 139628 145460 145880 174535 244349 278452 279256 290920 348065 349070 487291 488698 541319 556904 696130 698140 974582 977396 1082638 1221745 1392260 1396280 1949164 1954792 2165276 2436455 2443490 2706595 2784520 3789233 3898328 4330552 4872910 4886980 5413190 7578466 9745820 9773960 10826380 15156932 18946165 19491640 21652760 30313864 36268373 37892330 72536746 75784660 145073492 151569320 181341865 253878611 290146984 362683730 507757222 725367460 1015514444 1269393055 1450734920 2031028888 2538786110 5077572220 10155144440