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145434604440 = 23352979529007
BaseRepresentation
bin1000011101110010010…
…0111111001110011000
3111220101120212101112010
42013130210333032120
54340322224320230
6150451200145520
713336001512056
oct2073444771630
9456346771463
10145434604440
1156751051974
12242299082a0
1310939789b78
1470793011d6
153bb2dc49b0
hex21dc93f398

145434604440 has 128 divisors (see below), whose sum is σ = 457062912000. Its totient is φ = 36971171328.

The previous prime is 145434604333. The next prime is 145434604457. The reversal of 145434604440 is 44406434541.

It is a happy number.

It is a congruent number.

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, 10417 + ... + 539423.

It is an arithmetic number, because the mean of its divisors is an integer number (3570804000).

Almost surely, 2145434604440 is an apocalyptic number.

145434604440 is a gapful number since it is divisible by the number (10) 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 145434604440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228531456000).

145434604440 is an abundant number, since it is smaller than the sum of its proper divisors (311628307560).

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

145434604440 is a wasteful number, since it uses less digits than its factorization.

145434604440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529129 (or 529125 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 145434604440 in words is "one hundred forty-five billion, four hundred thirty-four million, six hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 79 87 116 120 145 158 174 232 237 290 316 348 395 435 474 580 632 696 790 870 948 1160 1185 1580 1740 1896 2291 2370 3160 3480 4582 4740 6873 9164 9480 11455 13746 18328 22910 27492 34365 45820 54984 68730 91640 137460 274920 529007 1058014 1587021 2116028 2645035 3174042 4232056 5290070 6348084 7935105 10580140 12696168 15341203 15870210 21160280 30682406 31740420 41791553 46023609 61364812 63480840 76706015 83583106 92047218 122729624 125374659 153412030 167166212 184094436 208957765 230118045 250749318 306824060 334332424 368188872 417915530 460236090 501498636 613648120 626873295 835831060 920472180 1002997272 1211955037 1253746590 1671662120 1840944360 2423910074 2507493180 3635865111 4847820148 5014986360 6059775185 7271730222 9695640296 12119550370 14543460444 18179325555 24239100740 29086920888 36358651110 48478201480 72717302220 145434604440