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1401988608 = 2933372741
BaseRepresentation
bin101001110010000…
…1010011000000000
310121201002101211000
41103210022120000
510332402113413
6351041252000
746512464226
oct12344123000
93551071730
101401988608
1165a427879
12331634000
131945c6977
14d42acb16
1583139073
hex5390a600

1401988608 has 160 divisors (see below), whose sum is σ = 4263700320. Its totient is φ = 454533120.

The previous prime is 1401988603. The next prime is 1401988613. The reversal of 1401988608 is 8068891041.

It is an interprime number because it is at equal distance from previous prime (1401988603) and next prime (1401988613).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401988603) 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, 510118 + ... + 512858.

It is an arithmetic number, because the mean of its divisors is an integer number (26648127).

Almost surely, 21401988608 is an apocalyptic number.

1401988608 is a gapful number since it is divisible by the number (18) 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 1401988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131850160).

1401988608 is an abundant number, since it is smaller than the sum of its proper divisors (2861711712).

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

1401988608 is an equidigital number, since it uses as much as digits as its factorization.

1401988608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1401988608 is about 37443.1383300065. The cubic root of 1401988608 is about 1119.2183661992.

The spelling of 1401988608 in words is "one billion, four hundred one million, nine hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1152 1184 1332 1536 1728 1776 1998 2304 2368 2664 2741 3456 3552 3996 4608 4736 5328 5482 6912 7104 7992 8223 9472 10656 10964 13824 14208 15984 16446 18944 21312 21928 24669 28416 31968 32892 42624 43856 49338 56832 63936 65784 74007 85248 87712 98676 101417 127872 131568 148014 170496 175424 197352 202834 255744 263136 296028 304251 350848 394704 405668 511488 526272 592056 608502 701696 789408 811336 912753 1052544 1184112 1217004 1403392 1578816 1622672 1825506 2105088 2368224 2434008 2738259 3157632 3245344 3651012 4210176 4736448 4868016 5476518 6315264 6490688 7302024 9472896 9736032 10953036 12630528 12981376 14604048 18945792 19472064 21906072 25962752 29208096 37891584 38944128 43812144 51925504 58416192 77888256 87624288 116832384 155776512 175248576 233664768 350497152 467329536 700994304 1401988608