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145896173040 = 24351733513877
BaseRepresentation
bin1000011111100000010…
…1101110110111110000
3111221120202101111121110
42013320011232313300
54342243410014130
6151005045153320
713353305003112
oct2077005566760
9457522344543
10145896173040
115696864a222
12243383bb840
13109b12a7397
1470c07313b2
153bdd69aab0
hex21f816edf0

145896173040 has 80 divisors (see below), whose sum is σ = 454892590368. Its totient is φ = 38680747008.

The previous prime is 145896173039. The next prime is 145896173047. The reversal of 145896173040 is 40371698541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145896173047) 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, 1715419 + ... + 1798458.

Almost surely, 2145896173040 is an apocalyptic number.

145896173040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145896173040 is an abundant number, since it is smaller than the sum of its proper divisors (308996417328).

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

145896173040 is a wasteful number, since it uses less digits than its factorization.

145896173040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514066 (or 3514060 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 145896173040 in words is "one hundred forty-five billion, eight hundred ninety-six million, one hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 6920 8304 10380 13840 20760 41520 3513877 7027754 10541631 14055508 17569385 21083262 28111016 35138770 42166524 52708155 56222032 70277540 84333048 105416310 140555080 168666096 210832620 281110160 421665240 607900721 843330480 1215801442 1823702163 2431602884 3039503605 3647404326 4863205768 6079007210 7294808652 9118510815 9726411536 12158014420 14589617304 18237021630 24316028840 29179234608 36474043260 48632057680 72948086520 145896173040