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402640614006426 = 2321719959083111913
BaseRepresentation
bin101101110001100110001001…
…0110001010001111010011010
31221210122001210200101022120100
41123203030102301101322122
5410233330434141201201
63544202313341240230
7150544552523432415
oct13343142261217232
91853561720338510
10402640614006426
11107325a1a873144
12391aa546b63076
1314388b01a82a93
14715dca42dab7c
1531839167e8886
hex16e3312c51e9a

402640614006426 has 96 divisors (see below), whose sum is σ = 928370679350400. Its totient is φ = 125680606774272.

The previous prime is 402640614006383. The next prime is 402640614006461. The reversal of 402640614006426 is 624600416046204.

402640614006426 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 4 + 0 + 614 + 0 + 0 + 6 + 4 + 26 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3597744246 + ... + 3597856158.

It is an arithmetic number, because the mean of its divisors is an integer number (9670527909900).

Almost surely, 2402640614006426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402640614006426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464185339675200).

402640614006426 is an abundant number, since it is smaller than the sum of its proper divisors (525730065343974).

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

402640614006426 is a wasteful number, since it uses less digits than its factorization.

402640614006426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171220 (or 171217 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 402640614006426 in words is "four hundred two trillion, six hundred forty billion, six hundred fourteen million, six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 306 398 597 1194 1791 3383 3582 6766 10149 20298 30447 59083 60894 111913 118166 177249 223826 335739 354498 531747 671478 1004411 1007217 1063494 1902521 2008822 2014434 3013233 3805042 5707563 6026466 9039699 11415126 11757517 17122689 18079398 22270687 23515034 34245378 35272551 44541374 66812061 70545102 105817653 133624122 199877789 200436183 211635306 378601679 399755578 400872366 599633367 757203358 1135805037 1199266734 1798900101 2271610074 3407415111 3597800202 6612155779 6814830222 13224311558 19836467337 39672934674 59509402011 112406648243 119018804022 224813296486 337219944729 674439889458 1011659834187 1315819000021 2023319668374 2631638000042 3947457000063 7894914000126 11842371000189 22368923000357 23684742000378 44737846000714 67106769001071 134213538002142 201320307003213 402640614006426