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4272044146560 = 2734582408259
BaseRepresentation
bin111110001010101001101…
…011000111111110000000
3120010101220002202020020000
4332022221223013332000
51024443121300142220
613030314444120000
7620434144046541
oct76125153077600
916111802666200
104272044146560
1113a7844604463
1258bb4ab36000
1324cb0cbc5618
1410aaa77044c8
15761d4223390
hex3e2a9ac7f80

4272044146560 has 160 divisors (see below), whose sum is σ = 15256241173800. Its totient is φ = 1139211758592.

The previous prime is 4272044146549. The next prime is 4272044146609. The reversal of 4272044146560 is 656414402724.

It is a happy number.

4272044146560 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 0 + 4 + 41 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×42720441465602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41152290 + ... + 41255969.

Almost surely, 24272044146560 is an apocalyptic number.

4272044146560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4272044146560 is an abundant number, since it is smaller than the sum of its proper divisors (10984197027240).

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

4272044146560 is an equidigital number, since it uses as much as digits as its factorization.

4272044146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82408290 (or 82408269 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4272044146560 in words is "four trillion, two hundred seventy-two billion, forty-four million, one hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 82408259 164816518 247224777 329633036 412041295 494449554 659266072 741674331 824082590 988899108 1236123885 1318532144 1483348662 1648165180 1977798216 2225022993 2472247770 2637064288 2966697324 3296330360 3708371655 3955596432 4450045986 4944495540 5274128576 5933394648 6592660720 6675068979 7416743310 7911192864 8900091972 9888991080 10548257152 11125114965 11866789296 13185321440 13350137958 14833486620 15822385728 17800183944 19777982160 22250229930 23733578592 26370642880 26700275916 29666973240 31644771456 33375344895 35600367888 39555964320 44500459860 47467157184 52741285760 53400551832 59333946480 66750689790 71200735776 79111928640 89000919720 94934314368 106801103664 118667892960 133501379580 142401471552 158223857280 178001839440 213602207328 237335785920 267002759160 284802943104 356003678880 427204414656 474671571840 534005518320 712007357760 854408829312 1068011036640 1424014715520 2136022073280 4272044146560