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31351401213408 = 253466371822427
BaseRepresentation
bin1110010000011100100010…
…01000011110110111100000
311010000011110001111101210000
413020032101020132313200
513102130132202312113
6150402345045140000
76414030643231623
oct710162110366740
9133004401441700
1031351401213408
119a98066723701
1236241409ba600
13146556968b263
147a55b73b1dba
153957c65c8373
hex1c839121ede0

31351401213408 has 120 divisors (see below), whose sum is σ = 92217543058872. Its totient is φ = 10448886760704.

The previous prime is 31351401213383. The next prime is 31351401213437. The reversal of 31351401213408 is 80431210415313.

31351401213408 is a `hidden beast` number, since 3 + 1 + 3 + 514 + 0 + 1 + 2 + 134 + 0 + 8 = 666.

It is a super-2 number, since 2×313514012134082 (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 19 ways as a sum of consecutive naturals, for example, 16291891 + ... + 18114317.

Almost surely, 231351401213408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31351401213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46108771529436).

31351401213408 is an abundant number, since it is smaller than the sum of its proper divisors (60866141845464).

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

31351401213408 is a wasteful number, since it uses less digits than its factorization.

31351401213408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829086 (or 1829069 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 31351401213408 in words is "thirty-one trillion, three hundred fifty-one billion, four hundred one million, two hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 6637 13274 19911 26548 39822 53096 59733 79644 106192 119466 159288 179199 212384 238932 318576 358398 477864 537597 637152 716796 955728 1075194 1433592 1822427 1911456 2150388 2867184 3644854 4300776 5467281 5734368 7289708 8601552 10934562 14579416 16401843 17203104 21869124 29158832 32803686 43738248 49205529 58317664 65607372 87476496 98411058 131214744 147616587 174952992 196822116 262429488 295233174 393644232 524858976 590466348 787288464 1180932696 1574576928 2361865392 4723730784 12095447999 24190895998 36286343997 48381791996 72572687994 96763583992 108859031991 145145375988 193527167984 217718063982 290290751976 326577095973 387054335968 435436127964 580581503952 653154191946 870872255928 979731287919 1161163007904 1306308383892 1741744511856 1959462575838 2612616767784 3483489023712 3918925151676 5225233535568 7837850303352 10450467071136 15675700606704 31351401213408