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400642324071 = 311194995472341
BaseRepresentation
bin1011101010010000010…
…01001011011001100111
31102022010110012210222020
411311020021023121213
523031003413332241
6504015203234223
740642201364643
oct5651011133147
91368113183866
10400642324071
11144a03168a40
1265792378973
132ba1b735562
1415569605c23
15a64cec6b66
hex5d4824b667

400642324071 has 64 divisors (see below), whose sum is σ = 616039680000. Its totient is φ = 229055299200.

The previous prime is 400642324021. The next prime is 400642324157. The reversal of 400642324071 is 170423246004.

It is not a de Polignac number, because 400642324071 - 211 = 400642322023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400642324001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171140361 + ... + 171142701.

It is an arithmetic number, because the mean of its divisors is an integer number (9625620000).

Almost surely, 2400642324071 is an apocalyptic number.

400642324071 is a deficient number, since it is larger than the sum of its proper divisors (215397355929).

400642324071 is a wasteful number, since it uses less digits than its factorization.

400642324071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420.

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 400642324071 in words is "four hundred billion, six hundred forty-two million, three hundred twenty-four thousand, seventy-one".

Divisors: 1 3 11 19 33 57 209 499 547 627 1497 1641 2341 5489 6017 7023 9481 10393 16467 18051 25751 28443 31179 44479 77253 104291 114323 133437 272953 312873 342969 489269 818859 1168159 1280527 1467807 3002483 3504477 3841581 5186107 9007449 12849749 14085797 15558321 22195021 24330013 38549247 42257391 57047177 66585063 72990039 171141531 244145231 267630143 638982973 732435693 802890429 1916948919 7028812703 12140676487 21086438109 36422029461 133547441357 400642324071