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144044545435544 = 231321736713170707
BaseRepresentation
bin100000110000000111111011…
…111101100110011110011000
3200220000112011001000211101102
4200300013323331212132120
5122340011212112414134
61230205052312210532
742224606055200525
oct4060077375463630
9626015131024342
10144044545435544
1141995a48734956
12141a496a999a48
13624b45b1b2b00
14277db1677014c
15119bde104437e
hex8301fbf66798

144044545435544 has 96 divisors (see below), whose sum is σ = 309670925227920. Its totient is φ = 62569315381248.

The previous prime is 144044545435519. The next prime is 144044545435633. The reversal of 144044545435544 is 445534545440441.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144044545435544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843726239 + ... + 843896945.

Almost surely, 2144044545435544 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 144044545435544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154835462613960).

144044545435544 is an abundant number, since it is smaller than the sum of its proper divisors (165626379792376).

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

144044545435544 is a wasteful number, since it uses less digits than its factorization.

144044545435544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207469 (or 207452 counting only the distinct ones).

The product of its (nonzero) digits is 122880000, while the sum is 56.

The spelling of 144044545435544 in words is "one hundred forty-four trillion, forty-four billion, five hundred forty-five million, four hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2873 5746 11492 22984 36713 73426 146852 170707 293704 341414 477269 624121 682828 954538 1248242 1365656 1909076 2219191 2496484 2902019 3818152 4438382 4992968 5804038 6204497 8113573 8876764 11608076 12408994 16227146 17753528 23216152 24817988 28849483 32454292 37726247 49635976 57698966 64908584 75452494 105476449 115397932 150904988 210952898 230795864 301809976 421905796 490441211 843811592 980882422 1961764844 3923529688 6267166091 12534332182 25068664364 50137328728 81473159183 106541823547 162946318366 213083647094 325892636732 426167294188 651785273464 852334588376 1059151069379 1385043706111 2118302138758 2770087412222 4236604277516 5540174824444 8473208555032 11080349648888 18005568179443 36011136358886 72022272717772 144044545435544