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145062739272 = 233114160722079
BaseRepresentation
bin1000011100011001101…
…0011011110101001000
3111212102200010200102010
42013012122123311020
54334042030124042
6150350233535520
713323534640053
oct2070632336510
9455380120363
10145062739272
1156580153090
12241452745a0
13108aa7195c9
147041b81a9a
153b9041c59c
hex21c669bd48

145062739272 has 128 divisors (see below), whose sum is σ = 405961113600. Its totient is φ = 42813657600.

The previous prime is 145062739259. The next prime is 145062739307. The reversal of 145062739272 is 272937260541.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6559129 + ... + 6581207.

It is an arithmetic number, because the mean of its divisors is an integer number (3171571200).

Almost surely, 2145062739272 is an apocalyptic number.

145062739272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145062739272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202980556800).

145062739272 is an abundant number, since it is smaller than the sum of its proper divisors (260898374328).

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

145062739272 is a wasteful number, since it uses less digits than its factorization.

145062739272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22747 (or 22743 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 145062739272 in words is "one hundred forty-five billion, sixty-two million, seven hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 607 902 984 1214 1353 1804 1821 2428 2706 3608 3642 4856 5412 6677 7284 10824 13354 14568 20031 22079 24887 26708 40062 44158 49774 53416 66237 74661 80124 88316 99548 132474 149322 160248 176632 199096 242869 264948 273757 298644 485738 529896 547514 597288 728607 821271 905239 971476 1095028 1457214 1642542 1810478 1942952 2190056 2715717 2914428 3285084 3620956 5431434 5828856 6570168 7241912 9957629 10862868 13401953 19915258 21725736 26803906 29872887 39830516 40205859 53607812 59745774 79661032 80411718 107215624 119491548 147421483 160823436 238983096 294842966 321646872 442264449 549480073 589685932 884528898 1098960146 1179371864 1648440219 1769057796 2197920292 3296880438 3538115592 4395840584 6044280803 6593760876 12088561606 13187521752 18132842409 24177123212 36265684818 48354246424 72531369636 145062739272