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1421861688 = 233413612767
BaseRepresentation
bin101010010111111…
…1110001100111000
310200002111001120000
41110233332030320
510402444033223
6353031233000
750143424232
oct12457761470
93602431500
101421861688
1166a670805
12338218760
131987643a0
14d6ba3252
1584c62543
hex54bfe338

1421861688 has 160 divisors (see below), whose sum is σ = 4360762560. Its totient is φ = 430168320.

The previous prime is 1421861669. The next prime is 1421861723. The reversal of 1421861688 is 8861681241.

1421861688 is a `hidden beast` number, since 1 + 4 + 21 + 8 + 616 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 512481 + ... + 515247.

It is an arithmetic number, because the mean of its divisors is an integer number (27254766).

Almost surely, 21421861688 is an apocalyptic number.

1421861688 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 1421861688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180381280).

1421861688 is an abundant number, since it is smaller than the sum of its proper divisors (2938900872).

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

1421861688 is a wasteful number, since it uses less digits than its factorization.

1421861688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2846 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1421861688 is about 37707.5813066816. The cubic root of 1421861688 is about 1124.4818520568.

The spelling of 1421861688 in words is "one billion, four hundred twenty-one million, eight hundred sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 81 104 108 117 122 156 162 183 216 234 244 312 324 351 366 468 488 549 648 702 732 793 936 1053 1098 1404 1464 1586 1647 2106 2196 2379 2767 2808 3172 3294 4212 4392 4758 4941 5534 6344 6588 7137 8301 8424 9516 9882 11068 13176 14274 16602 19032 19764 21411 22136 24903 28548 33204 35971 39528 42822 49806 57096 64233 66408 71942 74709 85644 99612 107913 128466 143884 149418 168787 171288 199224 215826 224127 256932 287768 298836 323739 337574 431652 448254 506361 513864 597672 647478 675148 863304 896508 971217 1012722 1294956 1350296 1519083 1793016 1942434 2025444 2194231 2589912 2913651 3038166 3884868 4050888 4388462 4557249 5827302 6076332 6582693 7769736 8776924 9114498 11654604 12152664 13165386 13671747 17553848 18228996 19748079 23309208 26330772 27343494 36457992 39496158 52661544 54686988 59244237 78992316 109373976 118488474 157984632 177732711 236976948 355465422 473953896 710930844 1421861688