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42064040004 = 22372160144683
BaseRepresentation
bin100111001011001101…
…100101000001000100
311000120111220122002120
4213023031211001010
51142121343240004
631153550205540
73016246304100
oct471315450104
9130514818076
1042064040004
1116926065928
12819b1b38b0
133c7488c6cc
142070776900
151162ce93d9
hex9cb365044

42064040004 has 72 divisors (see below), whose sum is σ = 114247693728. Its totient is φ = 12010521600.

The previous prime is 42064040003. The next prime is 42064040021. The reversal of 42064040004 is 40004046024.

It is a super-2 number, since 2×420640400042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42064040003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919047 + ... + 963729.

It is an arithmetic number, because the mean of its divisors is an integer number (1586773524).

Almost surely, 242064040004 is an apocalyptic number.

It is an amenable number.

42064040004 is an abundant number, since it is smaller than the sum of its proper divisors (72183653724).

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

42064040004 is a wasteful number, since it uses less digits than its factorization.

42064040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46305 (or 46296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42064040004 its reverse (40004046024), we get a palindrome (82068086028).

The spelling of 42064040004 in words is "forty-two billion, sixty-four million, forty thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1601 3202 4803 6404 9606 11207 19212 22414 33621 44683 44828 67242 78449 89366 134049 134484 156898 178732 235347 268098 312781 313796 470694 536196 625562 938343 941388 1251124 1876686 2189467 3753372 4378934 6568401 8757868 13136802 26273604 71537483 143074966 214612449 286149932 429224898 500762381 858449796 1001524762 1502287143 2003049524 3004574286 3505336667 6009148572 7010673334 10516010001 14021346668 21032020002 42064040004