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40161172182032 = 241110731750913217
BaseRepresentation
bin10010010000110110000000…
…11001101101010000010000
312021012101000010211011202202
421020123000121231100100
520231000040034311112
6221225442055302332
711313356200015166
oct1110330031552020
9167171003734682
1040161172182032
1111884291773a10
12460760737a9a8
13195424a638b05
149cbb4d95b236
15499a3e54c6c2
hex2486c066d410

40161172182032 has 160 divisors (see below), whose sum is σ = 86125099962240. Its totient is φ = 17990642647040.

The previous prime is 40161172182029. The next prime is 40161172182107. The reversal of 40161172182032 is 23028127116104.

It is a happy number.

It is a super-2 number, since 2×401611721820322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3038593088 + ... + 3038606304.

It is an arithmetic number, because the mean of its divisors is an integer number (538281874764).

Almost surely, 240161172182032 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 40161172182032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43062549981120).

40161172182032 is an abundant number, since it is smaller than the sum of its proper divisors (45963927780208).

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

40161172182032 is a wasteful number, since it uses less digits than its factorization.

40161172182032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

Adding to 40161172182032 its reverse (23028127116104), we get a palindrome (63189299298136).

The spelling of 40161172182032 in words is "forty trillion, one hundred sixty-one billion, one hundred seventy-two million, one hundred eighty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 317 428 509 634 856 1018 1177 1268 1712 2036 2354 2536 3487 4072 4708 5072 5599 6974 8144 9416 11198 13217 13948 18832 22396 26434 27896 33919 44792 52868 54463 55792 67838 89584 105736 108926 135676 145387 161353 211472 217852 271352 290774 322706 373109 435704 542704 581548 599093 645412 746218 871408 1163096 1198186 1290824 1414219 1492436 1774883 2326192 2396372 2581648 2828438 2984872 3549766 4189789 4792744 5656876 5969744 6727453 7099532 8379578 9585488 11313752 13454906 14199064 15556409 16759156 17264771 22627504 26909812 28398128 31112818 33518312 34529542 46087679 53819624 62225636 67036624 69059084 74001983 92175358 107639248 124451272 138118168 148003966 184350716 189912481 248902544 276236336 296007932 368701432 379824962 448307423 592015864 719837471 737402864 759649924 896614846 1184031728 1439674942 1519299848 1793229692 2132602601 2879349884 3038599696 3586459384 4265205202 4931381653 5758699768 7172918768 7918212181 8530410404 9862763306 11517399536 15836424362 17060820808 19725526612 23458628611 31672848724 34121641616 39451053224 46917257222 63345697448 78902106448 93834514444 126691394896 187669028888 228188478307 375338057776 456376956614 912753913228 1825507826456 2510073261377 3651015652912 5020146522754 10040293045508 20080586091016 40161172182032