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70014008232 = 2334771217397
BaseRepresentation
bin100000100110100101…
…0001111101110101000
320200201101201010120000
41001031022033232220
52121342041230412
652055231103000
75026004151660
oct1011512175650
9220641633500
1070014008232
112776909a723
121169b671a60
1367aa31074c
1435628211a0
151c4b97b4dc
hex104d28fba8

70014008232 has 160 divisors (see below), whose sum is σ = 227276565120. Its totient is φ = 19722165120.

The previous prime is 70014008231. The next prime is 70014008261. The reversal of 70014008232 is 23280041007.

It is a super-2 number, since 2×700140082322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 70014008196 and 70014008205.

It is not an unprimeable number, because it can be changed into a prime (70014008231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213358 + ... + 430754.

It is an arithmetic number, because the mean of its divisors is an integer number (1420478532).

Almost surely, 270014008232 is an apocalyptic number.

70014008232 is a gapful number since it is divisible by the number (72) 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 70014008232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113638282560).

70014008232 is an abundant number, since it is smaller than the sum of its proper divisors (157262556888).

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

70014008232 is a wasteful number, since it uses less digits than its factorization.

70014008232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217493 (or 217480 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 70014008232 its reverse (23280041007), we get a palindrome (93294049239).

The spelling of 70014008232 in words is "seventy billion, fourteen million, eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 81 84 108 126 142 162 168 189 213 216 252 284 324 378 426 497 504 567 568 639 648 756 852 994 1134 1278 1491 1512 1704 1917 1988 2268 2556 2982 3834 3976 4473 4536 5112 5751 5964 7668 8946 11502 11928 13419 15336 17892 23004 26838 35784 40257 46008 53676 80514 107352 161028 217397 322056 434794 652191 869588 1304382 1521779 1739176 1956573 2608764 3043558 3913146 4565337 5217528 5869719 6087116 7826292 9130674 11739438 12174232 13696011 15435187 15652584 17609157 18261348 23478876 27392022 30870374 35218314 36522696 41088033 46305561 46957752 54784044 61740748 70436628 82176066 92611122 108046309 109568088 123264099 123481496 138916683 140873256 164352132 185222244 216092618 246528198 277833366 324138927 328704264 370444488 416750049 432185236 493056396 555666732 648277854 833500098 864370472 972416781 986112792 1111333464 1250250147 1296555708 1667000196 1944833562 2500500294 2593111416 2917250343 3334000392 3889667124 5001000588 5834500686 7779334248 8751751029 10002001176 11669001372 17503502058 23338002744 35007004116 70014008232