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31403202335604 = 2232111714923312589
BaseRepresentation
bin1110010001111101000001…
…01110000101001101110100
311010012010011011110001120100
413020332200232011031310
513104002224244214404
6150442233151034100
76420543425424531
oct710764056051564
9133163134401510
1031403202335604
11a0080290474a0
123632198b0b930
13146a403621a58
147a7cccdcbd88
15396d09148d39
hex1c8fa0b85374

31403202335604 has 144 divisors (see below), whose sum is σ = 91697071152960. Its totient is φ = 8955721221120.

The previous prime is 31403202335591. The next prime is 31403202335639. The reversal of 31403202335604 is 40653320230413.

31403202335604 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 3 + 20 + 23 + 3 + 5 + 604 = 666.

It is a super-2 number, since 2×314032023356042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 100305342 + ... + 100617930.

It is an arithmetic number, because the mean of its divisors is an integer number (636785216340).

Almost surely, 231403202335604 is an apocalyptic number.

31403202335604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31403202335604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45848535576480).

31403202335604 is an abundant number, since it is smaller than the sum of its proper divisors (60293868817356).

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

31403202335604 is a wasteful number, since it uses less digits than its factorization.

31403202335604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327550 (or 327545 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 31403202335604 in words is "thirty-one trillion, four hundred three billion, two hundred two million, three hundred thirty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 14923 29846 44769 59692 89538 134307 164153 179076 253691 268614 312589 328306 492459 507382 537228 625178 656612 761073 937767 984918 1014764 1250356 1477377 1522146 1875534 1969836 2283219 2790601 2813301 2954754 3044292 3438479 3751068 4566438 5314013 5581202 5626602 5909508 6876958 8371803 9132876 10315437 10628026 11162404 11253204 13753916 15942039 16743606 20630874 21256052 25115409 30946311 31884078 33487212 41261748 47826117 50230818 58454143 61892622 63768156 95652234 100461636 116908286 123785244 175362429 191304468 233816572 350724858 526087287 701449716 1052174574 2104349148 4664765647 9329531294 13994296941 18659062588 27988593882 41982890823 51312422117 55977187764 79301015999 83965781646 102624844234 153937266351 158602031998 167931563292 205249688468 237903047997 307874532702 317204063996 461811799053 475806095994 615749065404 713709143991 872311175989 923623598106 951612191988 1427418287982 1744622351978 1847247196212 2616933527967 2854836575964 3489244703956 5233867055934 7850800583901 10467734111868 15701601167802 31403202335604