Search a number
-
+
44612204030316 = 223213709454729569
BaseRepresentation
bin10100010010011000101101…
…00100101110100101101100
312211221212220012111202001200
422021030112210232211230
521321411243212432231
6234514321423205500
712253061001333156
oct1211142644564554
9184855805452050
1044612204030316
111323aa251568aa
125006188a46890
131bb7bb3520ac0
14b0335682bad6
155256ec168be6
hex28931692e96c

44612204030316 has 144 divisors (see below), whose sum is σ = 121646482994400. Its totient is φ = 13703993081856.

The previous prime is 44612204030291. The next prime is 44612204030347. The reversal of 44612204030316 is 61303040221644.

44612204030316 is a `hidden beast` number, since 4 + 4 + 612 + 2 + 0 + 4 + 0 + 3 + 0 + 31 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1508734380 + ... + 1508763948.

Almost surely, 244612204030316 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 44612204030316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60823241497200).

44612204030316 is an abundant number, since it is smaller than the sum of its proper divisors (77034278964084).

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

44612204030316 is a wasteful number, since it uses less digits than its factorization.

44612204030316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34848 (or 34843 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 44612204030316 in words is "forty-four trillion, six hundred twelve billion, two hundred four million, thirty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 709 1418 2127 2836 4254 4547 6381 8508 9094 9217 12762 13641 18188 18434 25524 27282 27651 29569 36868 40923 54564 55302 59111 59138 81846 82953 88707 110604 118222 118276 163692 165906 177333 177414 236444 266121 331812 354666 354828 384397 531999 532242 709332 768794 1063998 1064484 1153191 1537588 2127996 2306382 3223823 3459573 4612764 6447646 6919146 9671469 12895292 13838292 19342938 20964421 29014407 38685876 41909699 41928842 58028814 62893263 83819398 83857684 116057628 125729097 125786526 134450243 167638796 188679789 251458194 251573052 268900486 272537473 377187291 377359578 403350729 502916388 537800972 545074946 754374582 754719156 806701458 817612419 1090149892 1210052187 1508749164 1613402916 1635224838 1747853159 2420104374 2452837257 3270449676 3495706318 4840208748 4905674514 5243559477 6991412636 9811349028 10487118954 15730678431 20974237908 31461356862 62922713724 95325222287 190650444574 285975666861 381300889148 571951333722 857927000583 1143902667444 1239227889731 1715854001166 2478455779462 3431708002332 3717683669193 4956911558924 7435367338386 11153051007579 14870734676772 22306102015158 44612204030316