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145488416840 = 23513299647773
BaseRepresentation
bin1000011101111111001…
…0010001000001001000
3111220112100010100020222
42013133302101001020
54340430013314330
6150500401405212
713340224065404
oct2073762210110
9456470110228
10145488416840
1156779466a28
1224243939808
131094797b620
14708250c104
153bb79a40e5
hex21dfc91048

145488416840 has 64 divisors (see below), whose sum is σ = 364685857200. Its totient is φ = 51866422272.

The previous prime is 145488416837. The next prime is 145488416849. The reversal of 145488416840 is 48614884541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 75164802244 + 70323614596 = 274162^2 + 265186^2 .

It is not an unprimeable number, because it can be changed into a prime (145488416849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4808807 + ... + 4838966.

Almost surely, 2145488416840 is an apocalyptic number.

145488416840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145488416840 is an abundant number, since it is smaller than the sum of its proper divisors (219197440360).

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

145488416840 is a wasteful number, since it uses less digits than its factorization.

145488416840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647826 (or 9647822 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 53.

The spelling of 145488416840 in words is "one hundred forty-five billion, four hundred eighty-eight million, four hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 9647773 19295546 38591092 48238865 77182184 96477730 125421049 192955460 250842098 279785417 385910920 501684196 559570834 627105245 1003368392 1119141668 1254210490 1398927085 2238283336 2508420980 2797854170 3637210421 5016841960 5595708340 7274420842 11191416680 14548841684 18186052105 29097683368 36372104210 72744208420 145488416840