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40200055202454 = 23721573132782501
BaseRepresentation
bin10010010001111110011100…
…00000101010001010010110
312021100002100222002021100020
421020333032000222022112
520232114203112434304
6221255352253330010
711316233562153600
oct1110771600521226
9167302328067306
1040200055202454
111189982516a734
124613059196906
131957b06173cc4
149cd99ba4a170
1549aa67e475d9
hex248fce02a296

40200055202454 has 96 divisors (see below), whose sum is σ = 94423114629216. Its totient is φ = 11376106560000.

The previous prime is 40200055202431. The next prime is 40200055202471. The reversal of 40200055202454 is 45420255000204.

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, 13056204 + ... + 15838704.

It is an arithmetic number, because the mean of its divisors is an integer number (983574110721).

Almost surely, 240200055202454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40200055202454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47211557314608).

40200055202454 is an abundant number, since it is smaller than the sum of its proper divisors (54223059426762).

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

40200055202454 is a wasteful number, since it uses less digits than its factorization.

40200055202454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782990 (or 2782983 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The spelling of 40200055202454 in words is "forty trillion, two hundred billion, fifty-five million, two hundred two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 294 313 314 471 626 939 942 1099 1878 2191 2198 3297 4382 6573 6594 7693 13146 15337 15386 23079 30674 46011 46158 49141 92022 98282 147423 294846 343987 687974 1031961 2063922 2407909 2782501 4815818 5565002 7223727 8347503 14447454 16695006 19477507 38955014 58432521 116865042 136342549 272685098 409027647 436852657 818055294 870922813 873705314 1310557971 1741845626 2612768439 2621115942 3057968599 5225536878 6096459691 6115937198 9173905797 12192919382 18289379073 18347811594 21405780193 36578758146 42675217837 42811560386 64217340579 85350435674 128025653511 128434681158 136734881641 256051307022 273469763282 410204644923 820409289846 957144171487 1914288342974 2871432514461 5742865028922 6700009200409 13400018400818 20100027601227 40200055202454