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44355522555344 = 24711132779998017
BaseRepresentation
bin10100001010111010100110…
…01010100110110111010000
312211001100100122000210100102
422011131103022212313100
521303210102233232334
6234200351252311532
712225403124650430
oct1205352312466720
9184040318023312
1044355522555344
1113151087155610
124b844929125a8
131b99928141a30
14ad4b668d62c0
1551dbc79a367e
hex2857532a6dd0

44355522555344 has 160 divisors (see below), whose sum is σ = 115802963302656. Its totient is φ = 15894445916160.

The previous prime is 44355522555317. The next prime is 44355522555373.

44355522555344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 44355522555344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562577 + ... + 9435440.

Almost surely, 244355522555344 is an apocalyptic number.

44355522555344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44355522555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57901481651328).

44355522555344 is an abundant number, since it is smaller than the sum of its proper divisors (71447440747312).

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

44355522555344 is a wasteful number, since it uses less digits than its factorization.

44355522555344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998333 (or 9998327 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 56.

The spelling of 44355522555344 in words is "forty-four trillion, three hundred fifty-five billion, five hundred twenty-two million, five hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 277 286 308 364 554 572 616 728 1001 1108 1144 1232 1456 1939 2002 2216 2288 3047 3601 3878 4004 4432 6094 7202 7756 8008 12188 14404 15512 16016 21329 24376 25207 28808 31024 39611 42658 48752 50414 57616 79222 85316 100828 158444 170632 201656 277277 316888 341264 403312 554554 633776 1109108 2218216 4436432 9998017 19996034 39992068 69986119 79984136 109978187 129974221 139972238 159968272 219956374 259948442 279944476 439912748 519896884 559888952 769847309 879825496 909819547 1039793768 1119777904 1429716431 1539694618 1759650992 1819639094 2079587536 2769450709 2859432862 3079389236 3639278188 5538901418 5718865724 6158778472 7278556376 10008015017 11077802836 11437731448 12317556944 14557112752 19386154963 20016030034 22155605672 22875462896 30463957799 36002859217 38772309926 40032060068 44311211344 60927915598 72005718434 77544619852 80064120136 121855831196 144011436868 155089239704 160128240272 213247704593 243711662392 252020014519 288022873736 310178479408 396031451387 426495409186 487423324784 504040029038 576045747472 792062902774 852990818372 1008080058076 1584125805548 1705981636744 2016160116152 2772220159709 3168251611096 3411963273488 4032320232304 5544440319418 6336503222192 11088880638836 22177761277672 44355522555344