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145319409132 = 223295312762039
BaseRepresentation
bin1000011101010110110…
…1100011010111101100
3111220002120002212021020
42013111231203113230
54340103232043012
6150431523134140
713333102411512
oct2072555432754
9456076085236
10145319409132
11566a2021a37
12241b7214350
131091b955b71
147067cb64b2
153ba7c1ca8c
hex21d5b635ec

145319409132 has 96 divisors (see below), whose sum is σ = 360209203200. Its totient is φ = 45524973312.

The previous prime is 145319409121. The next prime is 145319409139. The reversal of 145319409132 is 231904913541.

It is a super-2 number, since 2×1453194091322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145319409139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311369 + ... + 2373407.

It is an arithmetic number, because the mean of its divisors is an integer number (3752179200).

Almost surely, 2145319409132 is an apocalyptic number.

145319409132 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 145319409132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180104601600).

145319409132 is an abundant number, since it is smaller than the sum of its proper divisors (214889794068).

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

145319409132 is a wasteful number, since it uses less digits than its factorization.

145319409132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62255 (or 62253 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 145319409132 in words is "one hundred forty-five billion, three hundred nineteen million, four hundred nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 127 159 174 212 254 318 348 381 508 636 762 1524 1537 3074 3683 4611 6148 6731 7366 9222 11049 13462 14732 18444 20193 22098 26924 40386 44196 62039 80772 124078 186117 195199 248156 372234 390398 585597 744468 780796 1171194 1799131 2342388 3288067 3598262 5397393 6576134 7196524 7878953 9864201 10794786 13152268 15757906 19728402 21589572 23636859 31515812 39456804 47273718 94547436 95353943 190707886 228489637 286061829 381415772 417584509 456979274 572123658 685468911 835169018 913958548 1144247316 1252753527 1370937822 1670338036 2505507054 2741875644 5011014108 12109950761 24219901522 36329852283 48439803044 72659704566 145319409132