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1412458128 = 24333797911
BaseRepresentation
bin101010000110000…
…0110011010010000
310122102210022022000
41110030012122100
510343042130003
6352053514000
750000460504
oct12414063220
93572708260
101412458128
11665328774
12335042900
13196821153
14d5836304
15840061a3
hex54306690

1412458128 has 160 divisors (see below), whose sum is σ = 4211397120. Its totient is φ = 452874240.

The previous prime is 1412458127. The next prime is 1412458153. The reversal of 1412458128 is 8218542141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1412458092 and 1412458101.

It is not an unprimeable number, because it can be changed into a prime (1412458127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549993 + ... + 1550903.

It is an arithmetic number, because the mean of its divisors is an integer number (26321232).

Almost surely, 21412458128 is an apocalyptic number.

1412458128 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 1412458128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105698560).

1412458128 is an abundant number, since it is smaller than the sum of its proper divisors (2798938992).

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

1412458128 is a wasteful number, since it uses less digits than its factorization.

1412458128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 1412458128 is about 37582.6838850021. The cubic root of 1412458128 is about 1121.9974262860.

The spelling of 1412458128 in words is "one billion, four hundred twelve million, four hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 97 108 111 144 148 194 216 222 291 296 333 388 432 444 582 592 666 776 873 888 911 999 1164 1332 1552 1746 1776 1822 1998 2328 2619 2664 2733 3492 3589 3644 3996 4656 5238 5328 5466 6984 7178 7288 7992 8199 10476 10767 10932 13968 14356 14576 15984 16398 20952 21534 21864 24597 28712 32301 32796 33707 41904 43068 43728 49194 57424 64602 65592 67414 86136 88367 96903 98388 101121 129204 131184 134828 172272 176734 193806 196776 202242 258408 265101 269656 303363 353468 387612 393552 404484 516816 530202 539312 606726 706936 775224 795303 808968 910089 1060404 1213452 1413872 1550448 1590606 1617936 1820178 2120808 2385909 2426904 3181212 3269579 3640356 4241616 4771818 4853808 6362424 6539158 7280712 9543636 9808737 12724848 13078316 14561424 19087272 19617474 26156632 29426211 38174544 39234948 52313264 58852422 78469896 88278633 117704844 156939792 176557266 235409688 353114532 470819376 706229064 1412458128