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1400214384 = 243317375153
BaseRepresentation
bin101001101110101…
…1001001101110000
310121120202021001000
41103131121031300
510331423330014
6350535242000
746461424452
oct12335311560
93546667030
101400214384
11659425878
12330b19300
1319412522a
14d3d6a2d2
1582dd8509
hex53759370

1400214384 has 160 divisors (see below), whose sum is σ = 4371416640. Its totient is φ = 427327488.

The previous prime is 1400214379. The next prime is 1400214397. The reversal of 1400214384 is 4834120041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269152 + ... + 274304.

It is an arithmetic number, because the mean of its divisors is an integer number (27321354).

Almost surely, 21400214384 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 1400214384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185708320).

1400214384 is an abundant number, since it is smaller than the sum of its proper divisors (2971202256).

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

1400214384 is a wasteful number, since it uses less digits than its factorization.

1400214384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1400214384 is about 37419.4385847784. The cubic root of 1400214384 is about 1118.7460413122.

The spelling of 1400214384 in words is "one billion, four hundred million, two hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 204 216 222 272 296 306 333 408 432 444 459 592 612 629 666 816 888 918 999 1224 1258 1332 1776 1836 1887 1998 2448 2516 2664 3672 3774 3996 5032 5153 5328 5661 7344 7548 7992 10064 10306 11322 15096 15459 15984 16983 20612 22644 30192 30918 33966 41224 45288 46377 61836 67932 82448 87601 90576 92754 123672 135864 139131 175202 185508 190661 247344 262803 271728 278262 350404 371016 381322 525606 556524 571983 700808 742032 762644 788409 1051212 1113048 1143966 1401616 1525288 1576818 1715949 2102424 2226096 2287932 2365227 3050576 3153636 3241237 3431898 4204848 4575864 4730454 5147847 6307272 6482474 6863796 9151728 9460908 9723711 10295694 12614544 12964948 13727592 18921816 19447422 20591388 25929896 27455184 29171133 37843632 38894844 41182776 51859792 58342266 77789688 82365552 87513399 116684532 155579376 175026798 233369064 350053596 466738128 700107192 1400214384