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70281007440 = 24357131319343
BaseRepresentation
bin100000101110100010…
…0110001000101010000
320201102000010002121120
41001131010301011100
52122413414214230
652141525522240
75035425464220
oct1013504610520
9221360102546
1070281007440
1127895884126
1211754b73380
136820725747
14358a084080
151c6511c310
hex105d131150

70281007440 has 160 divisors (see below), whose sum is σ = 250897084416. Its totient is φ = 15941552640.

The previous prime is 70281007439. The next prime is 70281007469. The reversal of 70281007440 is 4470018207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60409 + ... + 379751.

Almost surely, 270281007440 is an apocalyptic number.

70281007440 is a gapful number since it is divisible by the number (70) 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 70281007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125448542208).

70281007440 is an abundant number, since it is smaller than the sum of its proper divisors (180616076976).

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

70281007440 is a wasteful number, since it uses less digits than its factorization.

70281007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319497 (or 319491 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 70281007440 in words is "seventy billion, two hundred eighty-one million, seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 131 140 168 210 240 262 280 336 393 420 524 560 655 786 840 917 1048 1310 1572 1680 1834 1965 2096 2620 2751 3144 3668 3930 4585 5240 5502 6288 7336 7860 9170 10480 11004 13755 14672 15720 18340 22008 27510 31440 36680 44016 55020 73360 110040 220080 319343 638686 958029 1277372 1596715 1916058 2235401 2554744 3193430 3832116 4470802 4790145 5109488 6386860 6706203 7664232 8941604 9580290 11177005 12773720 13412406 15328464 17883208 19160580 22354010 25547440 26824812 33531015 35766416 38321160 41833933 44708020 53649624 67062030 76642320 83667866 89416040 107299248 125501799 134124060 167335732 178832080 209169665 251003598 268248120 292837531 334671464 418339330 502007196 536496240 585675062 627508995 669342928 836678660 878512593 1004014392 1171350124 1255017990 1464187655 1673357320 1757025186 2008028784 2342700248 2510035980 2928375310 3346714640 3514050372 4392562965 4685400496 5020071960 5856750620 7028100744 8785125930 10040143920 11713501240 14056201488 17570251860 23427002480 35140503720 70281007440