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31053353662344 = 23313379739276209
BaseRepresentation
bin1110000111110001011000…
…00111010011011110001000
311001221200010121110001110110
413003320230013103132020
513032234232014143334
6150013414055514320
76353350023653226
oct703705407233610
9131850117401413
1031053353662344
119992720646172
1235964213889a0
13144341b1c81a0
14794dc16abb16
1538cb80537ae9
hex1c3e2c1d3788

31053353662344 has 128 divisors (see below), whose sum is σ = 85873909968000. Its totient is φ = 9295649869824.

The previous prime is 31053353662339. The next prime is 31053353662349. The reversal of 31053353662344 is 44326635335013.

It is an interprime number because it is at equal distance from previous prime (31053353662339) and next prime (31053353662349).

It is a super-2 number, since 2×310533536623442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31053353662293 and 31053353662302.

It is not an unprimeable number, because it can be changed into a prime (31053353662349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112288912 + ... + 112565120.

It is an arithmetic number, because the mean of its divisors is an integer number (670889921625).

Almost surely, 231053353662344 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 31053353662344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42936954984000).

31053353662344 is an abundant number, since it is smaller than the sum of its proper divisors (54820556305656).

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

31053353662344 is a wasteful number, since it uses less digits than its factorization.

31053353662344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286007 (or 286003 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 48.

Adding to 31053353662344 its reverse (44326635335013), we get a palindrome (75379988997357).

The spelling of 31053353662344 in words is "thirty-one trillion, fifty-three billion, three hundred fifty-three million, six hundred sixty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 9739 11544 19478 29217 38956 58434 77912 116868 126607 233736 253214 276209 360343 379821 506428 552418 720686 759642 828627 1012856 1081029 1104836 1441372 1519284 1657254 2162058 2209672 2882744 3038568 3314508 3590717 4324116 4684459 6629016 7181434 8648232 9368918 10219733 10772151 14053377 14362868 18737836 20439466 21544302 28106754 28725736 30659199 37475672 40878932 43088604 56213508 61318398 81757864 86177208 112427016 122636796 132856529 245273592 265713058 398569587 531426116 797139174 1062852232 1594278348 2689999451 3188556696 5379998902 8069998353 10759997804 16139996706 21519995608 32279993412 34969992863 64559986824 69939985726 99529979687 104909978589 139879971452 199059959374 209819957178 279759942904 298589939061 398119918748 419639914356 597179878122 796239837496 839279828712 1194359756244 1293889735931 2388719512488 2587779471862 3881669207793 5175558943724 7763338415586 10351117887448 15526676831172 31053353662344