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145011466624 = 2717533733371
BaseRepresentation
bin1000011100001101011…
…0110110000110000000
3111212022002122202120011
42013003112312012000
54333440413412444
6150341202554304
713322343062113
oct2070326660600
9455262582504
10145011466624
11565542131a2
1224130068994
131089cc06b6b
14703903657a
153b8ab90734
hex21c35b6180

145011466624 has 128 divisors (see below), whose sum is σ = 312583186080. Its totient is φ = 66753822720.

The previous prime is 145011466609. The next prime is 145011466661. The reversal of 145011466624 is 426664110541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 43015659 + ... + 43019029.

Almost surely, 2145011466624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145011466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156291593040).

145011466624 is an abundant number, since it is smaller than the sum of its proper divisors (167571719456).

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

145011466624 is a wasteful number, since it uses less digits than its factorization.

145011466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 145011466624 in words is "one hundred forty-five billion, eleven million, four hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 373 424 544 746 848 901 1088 1492 1696 1802 2176 2984 3371 3392 3604 5968 6341 6742 6784 7208 11936 12682 13484 14416 19769 23872 25364 26968 28832 39538 47744 50728 53936 57307 57664 79076 101456 107872 114614 115328 158152 178663 202912 215744 229228 316304 336073 357326 405824 431488 458456 632608 672146 714652 811648 916912 1257383 1265216 1344292 1429304 1833824 2514766 2530432 2688584 2858608 3037271 3667648 5029532 5377168 5717216 6074542 7335296 10059064 10754336 11434432 12149084 20118128 21375511 21508672 22868864 24298168 40236256 42751022 43017344 48596336 66641299 80472512 85502044 97192672 133282598 160945024 171004088 194385344 266565196 342008176 388770688 533130392 684016352 1066260784 1132902083 1368032704 2132521568 2265804166 2736065408 4265043136 4531608332 8530086272 9063216664 18126433328 36252866656 72505733312 145011466624