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42236123091552 = 25321334301328883
BaseRepresentation
bin10011001101001110111010…
…00111010001001001100000
312112112201211001000201200200
421212213131013101021200
521013444040002412202
6225455001310345200
711616313334521365
oct1146473507211140
9175481731021620
1042236123091552
111250426a434425
1248a17881bb200
131a74b06c48c90
14a6034c78646c
154d39d25e6e1c
hex2669dd1d1260

42236123091552 has 144 divisors (see below), whose sum is σ = 129352291247088. Its totient is φ = 12995311795200.

The previous prime is 42236123091541. The next prime is 42236123091559. The reversal of 42236123091552 is 25519032163224.

It is a happy number.

42236123091552 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 6 + 1 + 2 + 3 + 0 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 42236123091498 and 42236123091507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42236123091559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128258503 + ... + 128587385.

It is an arithmetic number, because the mean of its divisors is an integer number (898279800327).

Almost surely, 242236123091552 is an apocalyptic number.

It is an amenable number.

42236123091552 is an abundant number, since it is smaller than the sum of its proper divisors (87116168155536).

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

42236123091552 is a wasteful number, since it uses less digits than its factorization.

42236123091552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363213 (or 363202 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 42236123091552 in words is "forty-two trillion, two hundred thirty-six billion, one hundred twenty-three million, ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 34301 68602 102903 137204 205806 274408 308709 328883 411612 445913 548816 617418 657766 823224 891826 986649 1097632 1234836 1315532 1337739 1646448 1783652 1973298 2469672 2631064 2675478 2959947 3292896 3567304 3946596 4013217 4275479 4939344 5262128 5350956 5919894 7134608 7893192 8026434 8550958 9878688 10524256 10701912 11839788 12826437 14269216 15786384 16052868 17101916 21403824 23679576 25652874 31572768 32105736 34203832 38479311 42807648 47359152 51305748 64211472 68407664 76958622 94718304 102611496 128422944 136815328 153917244 205222992 307834488 410445984 615668976 1231337952 11281015783 22562031566 33843047349 45124063132 67686094698 90248126264 101529142047 135372189396 146653205179 180496252528 203058284094 270744378792 293306410358 360992505056 406116568188 439959615537 541488757584 586612820716 812233136376 879919231074 1082977515168 1173225641432 1319878846611 1624466272752 1759838462148 2346451282864 2639757693222 3248932545504 3519676924296 4692902565728 5279515386444 7039353848592 10559030772888 14078707697184 21118061545776 42236123091552