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1310014144 = 26531273041
BaseRepresentation
bin100111000010101…
…0011101011000000
310101022000121120101
41032011103223000
510140330423034
6333554052144
744314636135
oct11605235300
93338017511
101310014144
1161251801a
1230687a054
1317b5330ca
14c5daa58c
157a01c514
hex4e153ac0

1310014144 has 56 divisors (see below), whose sum is σ = 2670340608. Its totient is φ = 637378560.

The previous prime is 1310014141. The next prime is 1310014159. The reversal of 1310014144 is 4414100131.

It is a super-2 number, since 2×13100141442 = 3432274114960105472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310014141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 429264 + ... + 432304.

Almost surely, 21310014144 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 1310014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335170304).

1310014144 is an abundant number, since it is smaller than the sum of its proper divisors (1360326464).

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

1310014144 is a wasteful number, since it uses less digits than its factorization.

1310014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1310014144 is about 36194.1175331020. The cubic root of 1310014144 is about 1094.1881192987.

Adding to 1310014144 its reverse (4414100131), we get a palindrome (5724114275).

The spelling of 1310014144 in words is "one billion, three hundred ten million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 127 212 254 424 508 848 1016 1696 2032 3041 3392 4064 6082 6731 8128 12164 13462 24328 26924 48656 53848 97312 107696 161173 194624 215392 322346 386207 430784 644692 772414 1289384 1544828 2578768 3089656 5157536 6179312 10315072 12358624 20468971 24717248 40937942 81875884 163751768 327503536 655007072 1310014144