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400415311511004 = 22343775998665719
BaseRepresentation
bin101101100001011001111010…
…0011001111011110111011100
31221111202022220112010211120210
41123002303310121323313130
5404440401024221323004
63535340131002012420
7150225023460344166
oct13302636431736734
91844668815124523
10400415311511004
111066481a85a6919
1238aab2057a7110
131425700410347a
1470c42c115d936
153145ac3d71089
hex16c2cf467bddc

400415311511004 has 24 divisors (see below), whose sum is σ = 956030356167040. Its totient is φ = 130367775840624.

The previous prime is 400415311510999. The next prime is 400415311511011. The reversal of 400415311511004 is 400115113514004.

It is a super-2 number, since 2×4004153115110042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387999332344 + ... + 387999333375.

Almost surely, 2400415311511004 is an apocalyptic number.

It is an amenable number.

400415311511004 is an abundant number, since it is smaller than the sum of its proper divisors (555615044656036).

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

400415311511004 is a wasteful number, since it uses less digits than its factorization.

400415311511004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775998665769 (or 775998665767 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 400415311511004 in words is "four hundred trillion, four hundred fifteen billion, three hundred eleven million, five hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 775998665719 1551997331438 2327995997157 3103994662876 4655991994314 9311983988628 33367942625917 66735885251834 100103827877751 133471770503668 200207655755502 400415311511004