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31014189087448 = 23743163487162251
BaseRepresentation
bin1110000110101000011011…
…01110010011101011011000
311001210221001011101111202111
413003110031232103223120
513031114024401244243
6145543415523042104
76350462342401150
oct703241556235330
9131727034344674
1031014189087448
1199780532243a6
12358a911210334
13143c81924cc08
1479314804b760
1538bb3c07439d
hex1c350db93ad8

31014189087448 has 128 divisors (see below), whose sum is σ = 68562658897920. Its totient is φ = 12876461136000.

The previous prime is 31014189087373. The next prime is 31014189087467. The reversal of 31014189087448 is 84478098141013.

It is a junction number, because it is equal to n+sod(n) for n = 31014189087392 and 31014189087401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191068323 + ... + 191230573.

It is an arithmetic number, because the mean of its divisors is an integer number (535645772640).

Almost surely, 231014189087448 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 31014189087448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34281329448960).

31014189087448 is an abundant number, since it is smaller than the sum of its proper divisors (37548469810472).

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

31014189087448 is a wasteful number, since it uses less digits than its factorization.

31014189087448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162957 (or 162953 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The spelling of 31014189087448 in words is "thirty-one trillion, fourteen billion, one hundred eighty-nine million, eighty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 163 172 301 326 344 487 602 652 974 1141 1204 1304 1948 2282 2408 3409 3896 4564 6818 7009 9128 13636 14018 20941 27272 28036 41882 49063 56072 79381 83764 98126 146587 158762 162251 167528 196252 293174 317524 324502 392504 555667 586348 635048 649004 1111334 1135757 1172696 1298008 2222668 2271514 3413383 4445336 4543028 6826766 6976793 9086056 13653532 13953586 23893681 26446913 27307064 27907172 47787362 48837551 52893826 55814344 79016237 95574724 97675102 105787652 158032474 185128391 191149448 195350204 211575304 316064948 370256782 390700408 553113659 632129896 740513564 1106227318 1137217259 1481027128 2212454636 2274434518 3397698191 4424909272 4548869036 6795396382 7960520813 9097738072 12879646631 13590792764 15921041626 23783887337 25759293262 27181585528 31842083252 47567774674 51518586524 63684166504 90157526417 95135549348 103037173048 180315052834 190271098696 360630105668 553824805133 721260211336 1107649610266 2215299220532 3876773635931 4430598441064 7753547271862 15507094543724 31014189087448