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45011138990720 = 275721435304177
BaseRepresentation
bin10100011101111111110001…
…11100110101001010000000
312220101000121200000111101112
422032333320330311022000
521344430303040200340
6235421455400022452
712323642661466400
oct1216777074651200
9186330550014345
1045011138990720
1113384131582191
12506b563461a28
131c166bc2cc1a6
14b1879d392800
15530c9a2d5065
hex28eff8f35280

45011138990720 has 96 divisors (see below), whose sum is σ = 125172877363380. Its totient is φ = 15432390500352.

The previous prime is 45011138990707. The next prime is 45011138990731. The reversal of 45011138990720 is 2709983111054.

It can be written as a sum of positive squares in 2 ways, for example, as 43170471539776 + 1840667450944 = 6570424^2 + 1356712^2 .

It is a super-3 number, since 3×450111389907203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717620729 + ... + 717683448.

Almost surely, 245011138990720 is an apocalyptic number.

45011138990720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45011138990720 is an abundant number, since it is smaller than the sum of its proper divisors (80161738372660).

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

45011138990720 is a wasteful number, since it uses less digits than its factorization.

45011138990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435304210 (or 1435304191 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 45011138990720 in words is "forty-five trillion, eleven billion, one hundred thirty-eight million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 1435304177 2870608354 5741216708 7176520885 10047129239 11482433416 14353041770 20094258478 22964866832 28706083540 40188516956 45929733664 50235646195 57412167080 70329904673 80377033912 91859467328 100471292390 114824334160 140659809346 160754067824 183718934656 200942584780 229648668320 281319618692 321508135648 351649523365 401885169560 459297336640 562639237384 643016271296 703299046730 803770339120 918594673280 1125278474768 1286032542592 1406598093460 1607540678240 2250556949536 2813196186920 3215081356480 4501113899072 5626392373840 6430162712960 9002227798144 11252784747680 22505569495360 45011138990720