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140398895792016 = 2438365712
BaseRepresentation
bin11111111011000100101010…
…010011110111111110010000
3200102010000002110001100000000
4133323010222103313332100
5121400243414310321031
61214334210132130000
741400325343416611
oct3773045223677620
9612100073040000
10140398895792016
114080a923534864
12138b62b6166900
136045736356924
1426954b2977c08
15113716debc3e6
hex7fb12a4f7f90

140398895792016 has 135 divisors (see below), whose sum is σ = 408024717662523. Its totient is φ = 46798352238240.

The previous prime is 140398895791969. The next prime is 140398895792039. The reversal of 140398895792016 is 610297598893041.

The square root of 140398895792016 is 11849004.

It is a perfect power (a square), and thus also a powerful number.

140398895792016 is a `hidden beast` number, since 1 + 4 + 0 + 39 + 8 + 8 + 9 + 579 + 2 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3839059011 + ... + 3839095581.

It is a 1-persistent number, because it is pandigital, but 2⋅140398895792016 = 280797791584032 is not.

Almost surely, 2140398895792016 is an apocalyptic number.

140398895792016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140398895792016 is the 11849004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140398895792016

140398895792016 is an abundant number, since it is smaller than the sum of its proper divisors (267625821870507).

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

140398895792016 is an frugal number, since it uses more digits than its factorization.

140398895792016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73174 (or 36576 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 140398895792016 in words is "one hundred forty trillion, three hundred ninety-eight billion, eight hundred ninety-five million, seven hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 34992 36571 52488 73142 104976 109713 146284 219426 292568 329139 438852 585136 658278 877704 987417 1316556 1755408 1974834 2633112 2962251 3949668 5266224 5924502 7899336 8886753 11849004 15798672 17773506 23698008 26660259 35547012 47396016 53320518 71094024 79980777 106641036 142188048 159961554 213282072 239942331 319923108 426564144 479884662 639846216 959769324 1279692432 1337438041 1919538648 2674876082 3839077296 4012314123 5349752164 8024628246 10699504328 12036942369 16049256492 21399008656 24073884738 32098512984 36110827107 48147769476 64197025968 72221654214 96295538952 108332481321 144443308428 192591077904 216664962642 288886616856 324997443963 433329925284 577773233712 649994887926 866659850568 974992331889 1299989775852 1733319701136 1949984663778 2599979551704 2924976995667 3899969327556 5199959103408 5849953991334 7799938655112 8774930987001 11699907982668 15599877310224 17549861974002 23399815965336 35099723948004 46799631930672 70199447896008 140398895792016