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40444102021410 = 232523917471107621
BaseRepresentation
bin10010011001000101000000…
…10101011001000100100010
312022012102022000020012022200
421030202200111121010202
520300114010104141120
6222003433003514030
711342663356663443
oct1114424025310442
9168172260205280
1040444102021410
111198327a24094a
124652407b28916
131974b29a7a659
149db70d9592ca
154a209d2c5e90
hex24c8a0559122

40444102021410 has 96 divisors (see below), whose sum is σ = 105601668157440. Its totient is φ = 10739253436800.

The previous prime is 40444102021403. The next prime is 40444102021471. The reversal of 40444102021410 is 1412020144404.

It is a happy number.

40444102021410 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 41 + 0 + 202 + 1 + 410 = 666.

It is a super-3 number, since 3×404441020214103 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375747400 + ... + 375855020.

It is an arithmetic number, because the mean of its divisors is an integer number (1100017376640).

Almost surely, 240444102021410 is an apocalyptic number.

40444102021410 is an abundant number, since it is smaller than the sum of its proper divisors (65157566136030).

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

40444102021410 is a wasteful number, since it uses less digits than its factorization.

40444102021410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125344 (or 125341 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 40444102021410 its reverse (1412020144404), we get a palindrome (41856122165814).

The spelling of 40444102021410 in words is "forty trillion, four hundred forty-four billion, one hundred two million, twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 239 478 717 1195 1434 2151 2390 3585 4302 7170 10755 17471 21510 34942 52413 87355 104826 107621 157239 174710 215242 262065 314478 322863 524130 538105 645726 786195 968589 1076210 1572390 1614315 1937178 3228630 4175569 4842945 8351138 9685890 12526707 20877845 25053414 25721419 37580121 41755690 51442838 62633535 75160242 77164257 125267070 128607095 154328514 187900605 231492771 257214190 375801210 385821285 462985542 771642570 1157463855 1880246491 2314927710 3760492982 5640739473 9401232455 11281478946 16922218419 18802464910 28203697365 33844436838 56407394730 84611092095 169222184190 449378911349 898757822698 1348136734047 2246894556745 2696273468094 4044410202141 4493789113490 6740683670235 8088820404282 13481367340470 20222051010705 40444102021410