Search a number
-
+
401957955239832 = 233219907323956907
BaseRepresentation
bin101101101100101000010000…
…1001000101111111110011000
31221201012210202000110211222100
41123121100201020233332120
5410141134343020133312
63542520534014523400
7150444334562602605
oct13331204110577630
91851183660424870
10401957955239832
1110709245878a902
12390ba189b06560
131433961b2130c4
147138c2413d6ac
153170caed6e5dc
hex16d942122ff98

401957955239832 has 96 divisors (see below), whose sum is σ = 1147196202609600. Its totient is φ = 126794141353152.

The previous prime is 401957955239809. The next prime is 401957955239881. The reversal of 401957955239832 is 238932559759104.

401957955239832 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 5 + 7 + 9 + 5 + 523 + 98 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160737678 + ... + 163219229.

It is an arithmetic number, because the mean of its divisors is an integer number (11949960443850).

Almost surely, 2401957955239832 is an apocalyptic number.

It is an amenable number.

401957955239832 is an abundant number, since it is smaller than the sum of its proper divisors (745238247369768).

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

401957955239832 is a wasteful number, since it uses less digits than its factorization.

401957955239832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323957845 (or 323957838 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 401957955239832 in words is "four hundred one trillion, nine hundred fifty-seven billion, nine hundred fifty-five million, two hundred thirty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 907 1368 1814 2721 3628 5442 7256 8163 10884 16326 17233 21768 32652 34466 51699 65304 68932 103398 137864 155097 206796 310194 413592 620388 1240776 323956907 647913814 971870721 1295827628 1943741442 2591655256 2915612163 3887482884 5831224326 6155181233 7774965768 11662448652 12310362466 18465543699 23324897304 24620724932 36931087398 49241449864 55396631097 73862174796 110793262194 147724349592 221586524388 293828914649 443173048776 587657829298 881486743947 1175315658596 1762973487894 2350631317192 2644460231841 3525946975788 5288920463682 5582749378331 7051893951576 10577840927364 11165498756662 16748248134993 21155681854728 22330997513324 33496496269986 44661995026648 50244744404979 66992992539972 100489488809958 133985985079944 200978977619916 401957955239832