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45400220244 = 223219295993821
BaseRepresentation
bin101010010010000100…
…000110001001010100
311100012000112011000200
4222102010012021110
51220434424021434
632505004140500
73165026335101
oct522204061124
9140160464020
1045400220244
1118288271485
128970537730
134386acba62
1422a988daa8
1512aab47199
hexa92106254

45400220244 has 144 divisors (see below), whose sum is σ = 125208720000. Its totient is φ = 13815809280.

The previous prime is 45400220221. The next prime is 45400220269. The reversal of 45400220244 is 44202200454.

45400220244 is a `hidden beast` number, since 454 + 0 + 0 + 2 + 202 + 4 + 4 = 666.

It is a super-2 number, since 2×454002202442 (a number of 22 digits) contains 22 as substring.

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, 11879854 + ... + 11883674.

It is an arithmetic number, because the mean of its divisors is an integer number (869505000).

Almost surely, 245400220244 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 45400220244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62604360000).

45400220244 is an abundant number, since it is smaller than the sum of its proper divisors (79808499756).

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

45400220244 is a wasteful number, since it uses less digits than its factorization.

45400220244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 45400220244 its reverse (44202200454), we get a palindrome (89602420698).

The spelling of 45400220244 in words is "forty-five billion, four hundred million, two hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 599 684 1044 1102 1198 1653 1797 2204 2396 3306 3594 3821 4959 5391 6612 7188 7642 9918 10782 11381 11463 15284 17371 19836 21564 22762 22926 34143 34389 34742 45524 45852 52113 68286 68778 69484 72599 102429 104226 110809 136572 137556 145198 156339 204858 208452 217797 221618 290396 312678 330049 332427 409716 435594 443236 625356 653391 660098 664854 871188 990147 997281 1306782 1320196 1329708 1980294 1994562 2105371 2288779 2613564 2970441 3960588 3989124 4210742 4577558 5940882 6316113 6866337 8421484 9155116 11881764 12632226 13732674 18948339 20599011 25264452 27465348 37896678 41198022 43486801 66374591 75793356 82396044 86973602 130460403 132749182 173947204 199123773 260920806 265498364 391381209 398247546 521841612 597371319 782762418 796495092 1194742638 1261117229 1565524836 2389485276 2522234458 3783351687 5044468916 7566703374 11350055061 15133406748 22700110122 45400220244