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40128162040 = 23517313751449
BaseRepresentation
bin100101010111110100…
…110010100011111000
310211120121012211202201
4211113310302203320
51124140302141130
630233513435544
72620261515031
oct452764624370
9124517184681
1040128162040
111602233508a
12793aa0bbb4
133a267a65a5
141d2960da88
15109cda0bca
hex957d328f8

40128162040 has 128 divisors (see below), whose sum is σ = 101352384000. Its totient is φ = 14224343040.

The previous prime is 40128162017. The next prime is 40128162079. The reversal of 40128162040 is 4026182104.

It is a super-2 number, since 2×401281620402 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 754236 + ... + 805684.

It is an arithmetic number, because the mean of its divisors is an integer number (791815500).

Almost surely, 240128162040 is an apocalyptic number.

40128162040 is a gapful number since it is divisible by the number (40) 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 40128162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192000).

40128162040 is an abundant number, since it is smaller than the sum of its proper divisors (61224221960).

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

40128162040 is a wasteful number, since it uses less digits than its factorization.

40128162040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51545 (or 51541 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 40128162040 in words is "forty billion, one hundred twenty-eight million, one hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 37 40 62 68 74 85 124 136 148 155 170 185 248 296 310 340 370 527 620 629 680 740 1054 1147 1240 1258 1480 2108 2294 2516 2635 3145 4216 4588 5032 5270 5735 6290 9176 10540 11470 12580 19499 21080 22940 25160 38998 45880 51449 77996 97495 102898 155992 194990 205796 257245 389980 411592 514490 779960 874633 1028980 1594919 1749266 1903613 2057960 3189838 3498532 3807226 4373165 6379676 6997064 7614452 7974595 8746330 9518065 12759352 15228904 15949190 17492660 19036130 27113623 31898380 32361421 34985320 38072260 54227246 59012003 63796760 64722842 76144520 108454492 118024006 129445684 135568115 161807105 216908984 236048012 258891368 271136230 295060015 323614210 472096024 542272460 590120030 647228420 1003204051 1084544920 1180240060 1294456840 2006408102 2360480120 4012816204 5016020255 8025632408 10032040510 20064081020 40128162040