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1325651140144 = 241761210712241
BaseRepresentation
bin10011010010100110111…
…101110001111000110000
311200201201220111101101201
4103102212331301320300
5133204413142441034
62452555024340544
7164526604525462
oct23224675617060
94621656441351
101325651140144
11471229566471
12194b05a74754
13980154c3886
144823a1cc132
152473ad68014
hex134a6f71e30

1325651140144 has 120 divisors (see below), whose sum is σ = 2790915392304. Its totient is φ = 607824691200.

The previous prime is 1325651140133. The next prime is 1325651140193. The reversal of 1325651140144 is 4410411565231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108289864 + ... + 108302104.

Almost surely, 21325651140144 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 1325651140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395457696152).

1325651140144 is an abundant number, since it is smaller than the sum of its proper divisors (1465264252160).

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

1325651140144 is a wasteful number, since it uses less digits than its factorization.

1325651140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12495 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1325651140144 in words is "one trillion, three hundred twenty-five billion, six hundred fifty-one million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 61 68 107 122 136 214 244 272 428 488 856 976 1037 1712 1819 2074 3638 3721 4148 6527 7276 7442 8296 12241 13054 14552 14884 16592 24482 26108 29104 29768 48964 52216 59536 63257 97928 104432 110959 126514 195856 208097 221918 253028 398147 416194 443836 506056 746701 796294 832388 887672 1012112 1309787 1493402 1592588 1664776 1775344 2619574 2986804 3185176 3329552 5239148 5973608 6370352 6768499 10478296 11947216 12693917 13536998 20956592 22266379 25387834 27073996 44532758 45548761 50775668 54147992 79897007 89065516 91097522 101551336 108295984 159794014 178131032 182195044 203102672 319588028 356262064 364390088 639176056 728780176 774328937 1278352112 1358249119 1548657874 2716498238 3097315748 4873717427 5432996476 6194631496 9747434854 10865992952 12389262992 19494869708 21731985904 38989739416 77979478832 82853196259 165706392518 331412785036 662825570072 1325651140144