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145336238472 = 233137173255503
BaseRepresentation
bin1000011101011010110…
…1110000000110001000
3111220010201202212210010
42013112231300012020
54340122034112342
6150433323551520
713333365433605
oct2072655600610
9456121685703
10145336238472
1156700577087
122420098b5a0
1310922299059
14706a2176ac
153ba944429c
hex21d6b70188

145336238472 has 64 divisors (see below), whose sum is σ = 368109722880. Its totient is φ = 47813622272.

The previous prime is 145336238461. The next prime is 145336238491. The reversal of 145336238472 is 274832633541.

145336238472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453362384722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441073 + ... + 696575.

It is an arithmetic number, because the mean of its divisors is an integer number (5751714420).

Almost surely, 2145336238472 is an apocalyptic number.

145336238472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145336238472 is an abundant number, since it is smaller than the sum of its proper divisors (222773484408).

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

145336238472 is a wasteful number, since it uses less digits than its factorization.

145336238472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255822 (or 255818 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 145336238472 in words is "one hundred forty-five billion, three hundred thirty-six million, two hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 137 173 274 346 411 519 548 692 822 1038 1096 1384 1644 2076 3288 4152 23701 47402 71103 94804 142206 189608 255503 284412 511006 568824 766509 1022012 1533018 2044024 3066036 6132072 35003911 44202019 70007822 88404038 105011733 132606057 140015644 176808076 210023466 265212114 280031288 353616152 420046932 530424228 840093864 1060848456 6055676603 12111353206 18167029809 24222706412 36334059618 48445412824 72668119236 145336238472