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7038140814 = 2333716321611
BaseRepresentation
bin1101000111000000…
…11000000110001110
3200011111111121011000
412203200120012032
5103403231001224
63122215441130
7336261131655
oct64340300616
920144447130
107038140814
112a91935401
1214450861a6
1388219b483
144aaa4819c
152b2d500c9
hex1a381818e

7038140814 has 64 divisors (see below), whose sum is σ = 16162318080. Its totient is φ = 2268531360.

The previous prime is 7038140773. The next prime is 7038140821. The reversal of 7038140814 is 4180418307.

It is a super-2 number, since 2×70381408142 = 99070852235385165192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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, 314869 + ... + 336479.

It is an arithmetic number, because the mean of its divisors is an integer number (252536220).

Almost surely, 27038140814 is an apocalyptic number.

7038140814 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7038140814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081159040).

7038140814 is an abundant number, since it is smaller than the sum of its proper divisors (9124177266).

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

7038140814 is a wasteful number, since it uses less digits than its factorization.

7038140814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21822 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7038140814 is about 83893.6279701862. The cubic root of 7038140814 is about 1916.3992131847.

The spelling of 7038140814 in words is "seven billion, thirty-eight million, one hundred forty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 163 222 326 333 489 666 978 999 1467 1998 2934 4401 6031 8802 12062 18093 21611 36186 43222 54279 64833 108558 129666 162837 194499 325674 388998 583497 799607 1166994 1599214 2398821 3522593 4797642 7045186 7196463 10567779 14392926 21135558 21589389 31703337 43178778 63406674 95110011 130335941 190220022 260671882 391007823 782015646 1173023469 2346046938 3519070407 7038140814