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531141045121024 = 2121317234515067
BaseRepresentation
bin111100011000100011110100…
…1010100011111000000000000
32120122121120212122222100122221
41320301013221110133000000
51024104203330022333044
65121350454433540424
7216606450145140412
oct17061075124370000
92518546778870587
10531141045121024
1114426871a174838
124b6a2839414714
1319a4a502338360
1495235141b29b2
1541612e67a5484
hex1e311e951f000

531141045121024 has 156 divisors (see below), whose sum is σ = 1215100138704424. Its totient is φ = 230721895268352.

The previous prime is 531141045120997. The next prime is 531141045121039. The reversal of 531141045121024 is 420121540141135.

It is a super-2 number, since 2×5311410451210242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 1868862 + ... + 32646205.

Almost surely, 2531141045121024 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 531141045121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607550069352212).

531141045121024 is an abundant number, since it is smaller than the sum of its proper divisors (683959093583400).

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

531141045121024 is a wasteful number, since it uses less digits than its factorization.

531141045121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34515138 (or 34515099 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 531141045121024 its reverse (420121540141135), we get a palindrome (951262585262159).

The spelling of 531141045121024 in words is "five hundred thirty-one trillion, one hundred forty-one billion, forty-five million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 289 416 442 512 544 578 832 884 1024 1088 1156 1664 1768 2048 2176 2312 3328 3536 3757 4096 4352 4624 6656 7072 7514 8704 9248 13312 14144 15028 17408 18496 26624 28288 30056 34816 36992 53248 56576 60112 69632 73984 113152 120224 147968 226304 240448 295936 452608 480896 591872 905216 961792 1183744 1923584 3847168 7694336 15388672 34515067 69030134 138060268 276120536 448695871 552241072 586756139 897391742 1104482144 1173512278 1794783484 2208964288 2347024556 3589566968 4417928576 4694049112 7179133936 7627829807 8835857152 9388098224 9974854363 14358267872 15255659614 17671714304 18776196448 19949708726 28716535744 30511319228 35343428608 37552392896 39899417452 57433071488 61022638456 70686857216 75104785792 79798834904 114866142976 122045276912 129673106719 141373714432 150209571584 159597669808 229732285952 244090553824 259346213438 300419143168 319195339616 459464571904 488181107648 518692426876 600838286336 638390679232 918929143808 976362215296 1037384853752 1201676572672 1276781358464 1837858287616 1952724430592 2074769707504 2403353145344 2553562716928 3905448861184 4149539415008 5107125433856 7810897722368 8299078830016 10214250867712 15621795444736 16598157660032 20428501735424 31243590889472 33196315320064 40857003470848 66392630640128 132785261280256 265570522560512 531141045121024