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1401042432 = 2932971443
BaseRepresentation
bin101001110000010…
…0011011000000000
310121122022022220110
41103200203120000
510332131324212
6351005111320
746501443546
oct12340433000
93548268813
101401042432
11659940a09
12331258540
131943550ba
14d4103d96
1582eeda3c
hex53823600

1401042432 has 160 divisors (see below), whose sum is σ = 3924391680. Its totient is φ = 443555840.

The previous prime is 1401042421. The next prime is 1401042443. The reversal of 1401042432 is 2342401041.

It is an interprime number because it is at equal distance from previous prime (1401042421) and next prime (1401042443).

It is a junction number, because it is equal to n+sod(n) for n = 1401042399 and 1401042408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162403 + ... + 3162845.

It is an arithmetic number, because the mean of its divisors is an integer number (24527448).

Almost surely, 21401042432 is an apocalyptic number.

1401042432 is a gapful number since it is divisible by the number (12) 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 1401042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962195840).

1401042432 is an abundant number, since it is smaller than the sum of its proper divisors (2523349248).

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

1401042432 is an equidigital number, since it uses as much as digits as its factorization.

1401042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1401042432 is about 37430.5013591857. The cubic root of 1401042432 is about 1118.9665296607.

Adding to 1401042432 its reverse (2342401041), we get a palindrome (3743443473).

The spelling of 1401042432 in words is "one billion, four hundred one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 71 87 96 116 128 142 174 192 213 232 256 284 348 384 426 443 464 512 568 696 768 852 886 928 1136 1329 1392 1536 1704 1772 1856 2059 2272 2658 2784 3408 3544 3712 4118 4544 5316 5568 6177 6816 7088 7424 8236 9088 10632 11136 12354 12847 13632 14176 14848 16472 18176 21264 22272 24708 25694 27264 28352 31453 32944 36352 38541 42528 44544 49416 51388 54528 56704 62906 65888 77082 85056 94359 98832 102776 109056 113408 125812 131776 154164 170112 188718 197664 205552 226816 251624 263552 308328 340224 377436 395328 411104 503248 527104 616656 680448 754872 790656 822208 912137 1006496 1054208 1233312 1509744 1581312 1644416 1824274 2012992 2466624 2736411 3019488 3162624 3288832 3648548 4025984 4933248 5472822 6038976 6577664 7297096 8051968 9866496 10945644 12077952 14594192 16103936 19732992 21891288 24155904 29188384 43782576 48311808 58376768 87565152 116753536 175130304 233507072 350260608 467014144 700521216 1401042432