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1402150144 = 2819417989
BaseRepresentation
bin101001110010011…
…0001110100000000
310121201101121101211
41103210301310000
510332422301034
6351044535504
746514036203
oct12344616400
93551347354
101402150144
1165a52817a
123316b1594
13194652355
14d431193a
158316bd64
hex53931d00

1402150144 has 144 divisors (see below), whose sum is σ = 3090528000. Its totient is φ = 632586240.

The previous prime is 1402150133. The next prime is 1402150147. The reversal of 1402150144 is 4410512041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402150147) 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, 15754452 + ... + 15754540.

It is an arithmetic number, because the mean of its divisors is an integer number (21462000).

Almost surely, 21402150144 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 1402150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264000).

1402150144 is an abundant number, since it is smaller than the sum of its proper divisors (1688377856).

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

1402150144 is an equidigital number, since it uses as much as digits as its factorization.

1402150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1402150144 is about 37445.2953520199. The cubic root of 1402150144 is about 1119.2613496951.

Adding to 1402150144 its reverse (4410512041), we get a palindrome (5812662185).

The spelling of 1402150144 in words is "one billion, four hundred two million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 79 82 89 128 152 158 164 178 256 304 316 328 356 608 632 656 712 779 1216 1264 1312 1424 1501 1558 1691 2432 2528 2624 2848 3002 3116 3239 3382 3649 4864 5056 5248 5696 6004 6232 6478 6764 7031 7298 10112 10496 11392 12008 12464 12956 13528 14062 14596 20224 22784 24016 24928 25912 27056 28124 29192 48032 49856 51824 54112 56248 58384 61541 69331 96064 99712 103648 108224 112496 116768 123082 133589 138662 192128 199424 207296 216448 224992 233536 246164 267178 277324 288271 384256 414592 432896 449984 467072 492328 534356 554648 576542 829184 899968 934144 984656 1068712 1109296 1153084 1799936 1969312 2137424 2218592 2306168 3938624 4274848 4437184 4612336 5477149 7877248 8549696 8874368 9224672 10954298 15754496 17099392 17748736 18449344 21908596 34198784 36898688 43817192 73797376 87634384 175268768 350537536 701075072 1402150144