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145331849393956 = 22732825712
BaseRepresentation
bin100001000010110110110101…
…010000011111011100100100
3201001120120220110112112201001
4201002312311100133130210
5123022104111421101311
61233032310243443044
742416610465251551
oct4102666520373444
9631516813475631
10145331849393956
114234198920a095
1214372352386484
136312971b90cb4
1427c6155ab3a28
1511c06355594c1
hex842db541f724

145331849393956 has 27 divisors (see below), whose sum is σ = 257865567876273. Its totient is φ = 71669633084640.

The previous prime is 145331849393933. The next prime is 145331849393959. The reversal of 145331849393956 is 659393948133541.

The square root of 145331849393956 is 12055366.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82497437496100 + 62834411897856 = 9082810^2 + 7926816^2 .

It is a super-2 number, since 2×1453318493939562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (145331849393959) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1760042151 + ... + 1760124721.

Almost surely, 2145331849393956 is an apocalyptic number.

145331849393956 is the 12055366-th square number.

It is an amenable number.

145331849393956 is a deficient number, since it is larger than the sum of its proper divisors (112533718482317).

145331849393956 is an frugal number, since it uses more digits than its factorization.

145331849393956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165292 (or 82646 counting only the distinct ones).

The product of its digits is 1133740800, while the sum is 73.

The spelling of 145331849393956 in words is "one hundred forty-five trillion, three hundred thirty-one billion, eight hundred forty-nine million, three hundred ninety-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 73 146 292 5329 10658 21316 82571 165142 330284 6027683 12055366 24110732 440020859 880041718 1760083436 6817970041 13635940082 27271880164 497711812993 995423625986 1990847251972 36332962348489 72665924696978 145331849393956