Search a number
-
+
1401934464 = 27327173851
BaseRepresentation
bin101001110001111…
…1101001010000000
310121200222122112200
41103203331022000
510332343400324
6351040153200
746512150330
oct12343751200
93550878480
101401934464
1165a3a0127
12331608800
131945a8128
14d42970c0
1583127ec9
hex538fd280

1401934464 has 96 divisors (see below), whose sum is σ = 4610555040. Its totient is φ = 400550400.

The previous prime is 1401934453. The next prime is 1401934493. The reversal of 1401934464 is 4644391041.

It is a happy number.

1401934464 is a `hidden beast` number, since 1 + 4 + 0 + 193 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78862 + ... + 94989.

It is an arithmetic number, because the mean of its divisors is an integer number (48026615).

Almost surely, 21401934464 is an apocalyptic number.

1401934464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1401934464 is an abundant number, since it is smaller than the sum of its proper divisors (3208620576).

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

1401934464 is a wasteful number, since it uses less digits than its factorization.

1401934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173878 (or 173863 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1401934464 is about 37442.4153067080. The cubic root of 1401934464 is about 1119.2039581555.

The spelling of 1401934464 in words is "one billion, four hundred one million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 173851 347702 521553 695404 1043106 1216957 1390808 1564659 2086212 2433914 2781616 3129318 3650871 4172424 4867828 5563232 6258636 7301742 8344848 9735656 10952613 11126464 12517272 14603484 16689696 19471312 21905226 22252928 25034544 29206968 33379392 38942624 43810452 50069088 58413936 66758784 77885248 87620904 100138176 116827872 155770496 175241808 200276352 233655744 350483616 467311488 700967232 1401934464