Search a number
-
+
31024174656244 = 227211125929093929
BaseRepresentation
bin1110000110111011000001…
…11010001110101011110100
311001211212211001222221222211
413003131200322032223310
513031300002202444434
6145552150432303204
76351264653336500
oct703354072165364
9131755731887884
1031024174656244
119981307881aa0
1235908393a1b04
13144074ac568c3
147938142d5300
1538c023a31464
hex1c3760e8eaf4

31024174656244 has 144 divisors (see below), whose sum is σ = 68993825544000. Its totient is φ = 12070515233280.

The previous prime is 31024174656229. The next prime is 31024174656253. The reversal of 31024174656244 is 44265647142013.

It is a super-2 number, since 2×310241746562442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 7896199272 + ... + 7896203200.

It is an arithmetic number, because the mean of its divisors is an integer number (479123788500).

Almost surely, 231024174656244 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 31024174656244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34496912772000).

31024174656244 is an abundant number, since it is smaller than the sum of its proper divisors (37969650887756).

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

31024174656244 is a wasteful number, since it uses less digits than its factorization.

31024174656244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 31024174656244 in words is "thirty-one trillion, twenty-four billion, one hundred seventy-four million, six hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1259 2156 2518 2909 3929 5036 5818 7858 8813 11636 13849 15716 17626 20363 27503 27698 31999 35252 40726 43219 55006 55396 61691 63998 81452 86438 96943 110012 123382 127996 142541 172876 192521 193886 223993 246764 285082 302533 385042 387772 447986 570164 605066 678601 770084 895972 1210132 1357202 1567951 2117731 2714404 3135902 3662431 4235462 4946611 6271804 7324862 8470924 9893222 11429461 14649724 19786444 22858922 25637017 34626277 40286741 45717844 51274034 54412721 69252554 80006227 80573482 102548068 108825442 125724071 138505108 160012454 161146964 179459119 217650884 242383939 251448142 282007187 320024908 358918238 380889047 484767878 502896284 560043589 564014374 717836476 761778094 880068497 969535756 1120087178 1128028748 1523556188 1760136994 1974050309 2240174356 2666223329 3520273988 3948100618 5332446658 6160479479 7896201236 10664893316 12320958958 14389691399 24641917916 28779382798 57558765596 100727839793 158286605389 201455679586 316573210778 402911359172 633146421556 705094878551 1108006237723 1410189757102 2216012475446 2820379514204 4432024950892 7756043664061 15512087328122 31024174656244