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40304132432 = 24192310315591
BaseRepresentation
bin100101100010010100…
…000100000101010000
310212000212100001202122
4211202110010011100
51130020324214212
630303201233412
72624526321164
oct454224040520
9125025301678
1040304132432
11161026a5263
127989932868
133a54099295
141d44b38ca4
1510ad560272
hex962504150

40304132432 has 80 divisors (see below), whose sum is σ = 85871646720. Its totient is φ = 18240393600.

The previous prime is 40304132411. The next prime is 40304132441. The reversal of 40304132432 is 23423140304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7205957 + ... + 7211547.

It is an arithmetic number, because the mean of its divisors is an integer number (1073395584).

Almost surely, 240304132432 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 40304132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42935823360).

40304132432 is an abundant number, since it is smaller than the sum of its proper divisors (45567514288).

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

40304132432 is a wasteful number, since it uses less digits than its factorization.

40304132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 40304132432 its reverse (23423140304), we get a palindrome (63727272736).

The spelling of 40304132432 in words is "forty billion, three hundred four million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1031 1748 2062 3496 4124 5591 6992 8248 11182 16496 19589 22364 23713 39178 44728 47426 78356 89456 94852 106229 128593 156712 189704 212458 257186 313424 379408 424916 450547 514372 849832 901094 1028744 1699664 1802188 2057488 2443267 3604376 4886534 5764321 7208752 9773068 11528642 19546136 23057284 39092272 46114568 92229136 109522099 132579383 219044198 265158766 438088396 530317532 876176792 1060635064 1752353584 2121270128 2519008277 5038016554 10076033108 20152066216 40304132432