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5312123440 = 245137171941
BaseRepresentation
bin1001111001010000…
…01001001000110000
3111201012200211102121
410330220021020300
541334400422230
62235041124024
7245432206231
oct47450111060
914635624377
105312123440
112286611a68
121043029614
13668712910
1438570d088
1521155c77a
hex13ca09230

5312123440 has 80 divisors (see below), whose sum is σ = 13488261696. Its totient is φ = 1933747200.

The previous prime is 5312123419. The next prime is 5312123449. The reversal of 5312123440 is 443212135.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5312123449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37870 + ... + 109810.

Almost surely, 25312123440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744130848).

5312123440 is an abundant number, since it is smaller than the sum of its proper divisors (8176138256).

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

5312123440 is a wasteful number, since it uses less digits than its factorization.

5312123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72038 (or 72032 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5312123440 is about 72884.3154595006. The cubic root of 5312123440 is about 1744.8417838890.

Adding to 5312123440 its reverse (443212135), we get a palindrome (5755335575).

The spelling of 5312123440 in words is "five billion, three hundred twelve million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 923 1040 1136 1420 1846 2840 3692 4615 5680 7384 9230 14768 18460 36920 71941 73840 143882 287764 359705 575528 719410 935233 1151056 1438820 1870466 2877640 3740932 4676165 5107811 5755280 7481864 9352330 10215622 14963728 18704660 20431244 25539055 37409320 40862488 51078110 66401543 74818640 81724976 102156220 132803086 204312440 265606172 332007715 408624880 531212344 664015430 1062424688 1328030860 2656061720 5312123440