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40122465047440 = 2451733659792299
BaseRepresentation
bin10010001111101101111010…
…10001101101001110010000
312021001200002120112000012021
421013312331101231032100
520224331302023004230
6221200001143141224
711310516041551246
oct1107667521551620
9167050076460167
1040122465047440
111186992958a886
124600004444814
1319506bc393c89
149c9d1ad74796
15498a262e6c7a
hex247dbd46d390

40122465047440 has 80 divisors (see below), whose sum is σ = 93849709752000. Its totient is φ = 15951836366336.

The previous prime is 40122465047429. The next prime is 40122465047479. The reversal of 40122465047440 is 4474056422104.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50244411 + ... + 51036709.

It is an arithmetic number, because the mean of its divisors is an integer number (1173121371900).

Almost surely, 240122465047440 is an apocalyptic number.

40122465047440 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 40122465047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46924854876000).

40122465047440 is an abundant number, since it is smaller than the sum of its proper divisors (53727244704560).

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

40122465047440 is a wasteful number, since it uses less digits than its factorization.

40122465047440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796144 (or 796138 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 43.

The spelling of 40122465047440 in words is "forty trillion, one hundred twenty-two billion, four hundred sixty-five million, forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 3659 6920 7318 13840 14636 18295 29272 36590 58544 73180 146360 292720 633007 792299 1266014 1584598 2532028 3165035 3169196 3961495 5064056 6330070 6338392 7922990 10128112 12660140 12676784 15845980 25320280 31691960 50640560 63383920 137067727 274135454 548270908 685338635 1096541816 1370677270 2193083632 2741354540 2899022041 5482709080 5798044082 10965418160 11596088164 14495110205 23192176328 28990220410 46384352656 57980440820 115960881640 231921763280 501530813093 1003061626186 2006123252372 2507654065465 4012246504744 5015308130930 8024493009488 10030616261860 20061232523720 40122465047440