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40141405667740 = 225132191014161637
BaseRepresentation
bin10010010000010001001100…
…01110011100000110011100
312021010110222120122012200211
421020020212032130012130
520230134044322331430
6221212412430302204
711312056311302506
oct1110104616340634
9167113876565624
1040141405667740
1111876969019193
12460380b657964
13195241a440c00
149cabd6692d76
1549928405272a
hex24822639c19c

40141405667740 has 144 divisors (see below), whose sum is σ = 96095382657120. Its totient is φ = 14039753794560.

The previous prime is 40141405667719. The next prime is 40141405667771. The reversal of 40141405667740 is 4776650414104.

It is a super-2 number, since 2×401414056677402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 651224202 + ... + 651285838.

It is an arithmetic number, because the mean of its divisors is an integer number (667329046230).

Almost surely, 240141405667740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141405667740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48047691328560).

40141405667740 is an abundant number, since it is smaller than the sum of its proper divisors (55953976989380).

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

40141405667740 is a wasteful number, since it uses less digits than its factorization.

40141405667740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71832 (or 71817 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 40141405667740 in words is "forty trillion, one hundred forty-one billion, four hundred five million, six hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 494 676 845 988 1235 1690 2470 3211 3380 4940 6422 10141 12844 16055 20282 32110 40564 50705 61637 64220 101410 123274 131833 192679 202820 246548 263666 308185 385358 527332 616370 659165 770716 801281 963395 1171103 1232740 1318330 1602562 1713829 1926790 2342206 2504827 2636660 3205124 3427658 3853580 4006405 4684412 5009654 5855515 6855316 8012810 8569145 10019308 10416653 11711030 12524135 15224339 16025620 17138290 20833306 23422060 25048270 30448678 32562751 34276580 41666612 50096540 52083265 60897356 65125502 76121695 104166530 130251004 152243390 162813755 197916407 208333060 304486780 325627510 395832814 625060817 651255020 791665628 989582035 1250121634 1979164070 2500243268 3125304085 3958328140 6250608170 8125790621 11876155523 12501216340 16251581242 23752311046 32503162484 40628953105 47504622092 59380777615 81257906210 105635278073 118761555230 154390021799 162515812420 211270556146 237523110460 308780043598 422541112292 528176390365 617560087196 771950108995 1056352780730 1543900217990 2007070283387 2112705561460 3087800435980 4014140566774 8028281133548 10035351416935 20070702833870 40141405667740