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1402311040 = 27513315437
BaseRepresentation
bin101001110010101…
…1001000110000000
310121201200210002221
41103211121012000
510332442423130
6351052220424
746515306244
oct12345310600
93551623087
101402311040
1165a628049
1233176a714
131946aa660
14d4354424
158319e87a
hex53959180

1402311040 has 128 divisors (see below), whose sum is σ = 3727422720. Its totient is φ = 500981760.

The previous prime is 1402311023. The next prime is 1402311049. The reversal of 1402311040 is 401132041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402311049) 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, 255202 + ... + 260638.

It is an arithmetic number, because the mean of its divisors is an integer number (29120490).

Almost surely, 21402311040 is an apocalyptic number.

1402311040 is a gapful number since it is divisible by the number (10) 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 1402311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863711360).

1402311040 is an abundant number, since it is smaller than the sum of its proper divisors (2325111680).

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

1402311040 is a wasteful number, since it uses less digits than its factorization.

1402311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1402311040 is about 37447.4437044773. The cubic root of 1402311040 is about 1119.3041596103.

Adding to 1402311040 its reverse (401132041), we get a palindrome (1803443081).

The spelling of 1402311040 in words is "one billion, four hundred two million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 260 310 320 403 416 496 520 620 640 806 832 992 1040 1240 1612 1664 1984 2015 2080 2480 3224 3968 4030 4160 4960 5437 6448 8060 8320 9920 10874 12896 16120 19840 21748 25792 27185 32240 43496 51584 54370 64480 70681 86992 108740 128960 141362 168547 173984 217480 257920 282724 337094 347968 353405 434960 565448 674188 695936 706810 842735 869920 1130896 1348376 1413620 1685470 1739840 2191111 2261792 2696752 2827240 3370940 3479680 4382222 4523584 5393504 5654480 6741880 8764444 9047168 10787008 10955555 11308960 13483760 17528888 21574016 21911110 22617920 26967520 35057776 43822220 45235840 53935040 70115552 87644440 107870080 140231104 175288880 280462208 350577760 701155520 1402311040