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44232010032114 = 23319317917603561
BaseRepresentation
bin10100000111010100100010…
…01111101110001111110010
312210121112112211102111211000
422003222101033232033302
521244144124032011424
6234023523242302430
712213441304556502
oct1203522117561762
9183545484374730
1044232010032114
111310376559a833
124b645627b7a16
131b8b0a3324b68
14accbaac91a02
1551a89946a3c9
hex283a913ee3f2

44232010032114 has 128 divisors (see below), whose sum is σ = 108156284928000. Its totient is φ = 13346315049600.

The previous prime is 44232010032101. The next prime is 44232010032127. The reversal of 44232010032114 is 41123001023244.

44232010032114 is a `hidden beast` number, since 4 + 4 + 2 + 320 + 1 + 0 + 0 + 321 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (44232010032101) and next prime (44232010032127).

It is a super-2 number, since 2×442320100321142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289107 + ... + 11314454.

It is an arithmetic number, because the mean of its divisors is an integer number (844970976000).

Almost surely, 244232010032114 is an apocalyptic number.

44232010032114 is an abundant number, since it is smaller than the sum of its proper divisors (63924274895886).

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

44232010032114 is a wasteful number, since it uses less digits than its factorization.

44232010032114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603701 (or 17603695 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 44232010032114 its reverse (41123001023244), we get a palindrome (85355011055358).

The spelling of 44232010032114 in words is "forty-four trillion, two hundred thirty-two billion, ten million, thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 79 93 114 158 171 186 237 279 342 474 513 558 589 711 837 1026 1178 1422 1501 1674 1767 2133 2449 3002 3534 4266 4503 4898 5301 7347 9006 10602 13509 14694 15903 22041 27018 31806 40527 44082 46531 66123 81054 93062 132246 139593 279186 418779 837558 1256337 2512674 17603561 35207122 52810683 105621366 158432049 316864098 334467659 475296147 545710391 668935318 950592294 1003402977 1091420782 1390681319 1637131173 2006805954 2781362638 3010208931 3274262346 4172043957 4911393519 6020417862 8344087914 9030626793 9822787038 10368497429 12516131871 14734180557 18061253586 20736994858 25032263742 26422945061 29468361114 31105492287 37548395613 43111120889 52845890122 62210984574 75096791226 79268835183 86222241778 93316476861 129333362667 158537670366 186632953722 237806505549 258666725334 279949430583 388000088001 475613011098 559898861166 713419516647 776000176002 819111296891 1164000264003 1426839033294 1638222593782 2328000528006 2457333890673 4914667781346 7372001672019 14744003344038 22116005016057 44232010032114