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31214204421440 = 265116578367881
BaseRepresentation
bin1110001100011100111111…
…00100010000010101000000
311002112001022120112020112112
413012032133210100111000
513042403142312441230
6150215335121514452
76401103040601525
oct706163744202500
9132461276466475
1031214204421440
119a44962709217
123601631aa2a28
1314556437aa751
1479cac01a114c
15391e46a26d95
hex1c639f910540

31214204421440 has 56 divisors (see below), whose sum is σ = 74335209487272. Its totient is φ = 12484609187840.

The previous prime is 31214204421353. The next prime is 31214204421551. The reversal of 31214204421440 is 4412440241213.

It can be written as a sum of positive squares in 4 ways, for example, as 16082602337344 + 15131602084096 = 4010312^2 + 3889936^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 31214204421397 and 31214204421406.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 453701 + ... + 7914180.

Almost surely, 231214204421440 is an apocalyptic number.

It is an amenable number.

31214204421440 is an abundant number, since it is smaller than the sum of its proper divisors (43121005065832).

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

31214204421440 is a wasteful number, since it uses less digits than its factorization.

31214204421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379555 (or 8379545 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 31214204421440 its reverse (4412440241213), we get a palindrome (35626644662653).

The spelling of 31214204421440 in words is "thirty-one trillion, two hundred fourteen billion, two hundred four million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 11657 23314 46628 58285 93256 116570 186512 233140 373024 466280 746048 932560 1865120 3730240 8367881 16735762 33471524 41839405 66943048 83678810 133886096 167357620 267772192 334715240 535544384 669430480 1338860960 2677721920 97544388817 195088777634 390177555268 487721944085 780355110536 975443888170 1560710221072 1950887776340 3121420442144 3901775552680 6242840884288 7803551105360 15607102210720 31214204421440