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1432540122444 = 223452111637297
BaseRepresentation
bin10100110110001010000…
…010111000110101001100
312001221122011222021210000
4110312022002320311030
5141432320232404234
63014033322244300
7205332452062464
oct24661202706514
95057564867700
101432540122444
1150259a609972
121b1776956690
13a511b3088b2
144d49a14aba4
15273e4c8c899
hex14d8a0b8d4c

1432540122444 has 120 divisors (see below), whose sum is σ = 3755871736848. Its totient is φ = 476121784320.

The previous prime is 1432540122407. The next prime is 1432540122457. The reversal of 1432540122444 is 4442210452341.

1432540122444 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 5 + 401 + 2 + 244 + 4 = 666.

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 = 1432540122399 and 1432540122408.

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, 196315404 + ... + 196322700.

Almost surely, 21432540122444 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 1432540122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877935868424).

1432540122444 is an abundant number, since it is smaller than the sum of its proper divisors (2323331614404).

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

1432540122444 is a wasteful number, since it uses less digits than its factorization.

1432540122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1432540122444 its reverse (4442210452341), we get a palindrome (5874750574785).

The spelling of 1432540122444 in words is "one trillion, four hundred thirty-two billion, five hundred forty million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 521 1042 1163 1563 2084 2326 3126 3489 4652 4689 6252 6978 7297 9378 10467 13956 14067 14594 18756 20934 21891 28134 29188 31401 41868 42201 43782 56268 62802 65673 84402 87564 94203 125604 131346 168804 188406 197019 262692 376812 394038 591057 605923 788076 1182114 1211846 1817769 2364228 2423692 3635538 3801737 5453307 7271076 7603474 8486411 10906614 11405211 15206948 16359921 16972822 21813228 22810422 25459233 32719842 33945644 34215633 45620844 49079763 50918466 65439684 68431266 76377699 98159526 101836932 102646899 136862532 152755398 196319052 205293798 229133097 305510796 307940697 410587596 458266194 615881394 687399291 916532388 1231762788 1374798582 2749597164 4421420131 8842840262 13264260393 17685680524 26528520786 39792781179 53057041572 79585562358 119378343537 159171124716 238756687074 358135030611 477513374148 716270061222 1432540122444