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145948755456 = 293274524701
BaseRepresentation
bin1000011111101100111…
…0010100011000000000
3111221201102022222010100
42013323032110120000
54342400340133311
6151014204202400
713354513644450
oct2077316243000
9457642288110
10145948755456
11569952a4169
1224351b39400
13109bc15803a
1470c76dbd60
153be30d5a56
hex21fb394600

145948755456 has 120 divisors (see below), whose sum is σ = 481392095184. Its totient is φ = 41699635200.

The previous prime is 145948755451. The next prime is 145948755457. The reversal of 145948755456 is 654557849541.

It is a happy number.

145948755456 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 4 + 87 + 5 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 145948755393 and 145948755402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145948755451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2230095 + ... + 2294606.

Almost surely, 2145948755456 is an apocalyptic number.

145948755456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145948755456 is an abundant number, since it is smaller than the sum of its proper divisors (335443339728).

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

145948755456 is an equidigital number, since it uses as much as digits as its factorization.

145948755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524732 (or 4524713 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 145948755456 in words is "one hundred forty-five billion, nine hundred forty-eight million, seven hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 4524701 9049402 13574103 18098804 27148206 31672907 36197608 40722309 54296412 63345814 72395216 81444618 95018721 108592824 126691628 144790432 162889236 190037442 217185648 253383256 285056163 289580864 325778472 380074884 434371296 506766512 570112326 579161728 651556944 760149768 868742592 1013533024 1140224652 1158323456 1303113888 1520299536 1737485184 2027066048 2280449304 2316646912 2606227776 3040599072 3474970368 4054132096 4560898608 5212455552 6081198144 6949940736 8108264192 9121797216 10424911104 12162396288 16216528384 18243594432 20849822208 24324792576 36487188864 48649585152 72974377728 145948755456