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420123535325430 = 2351743169871127773
BaseRepresentation
bin101111110000110011010001…
…0000101011011100011110110
32001002112102021112020101001220
41133201212202011123203312
5420031301000020403210
64045310030535531210
7154330631565624666
oct13741464205334366
92032472245211056
10420123535325430
11111956433103102
123b152909b29b06
13150566302a3391
1475a61325641a6
15338859d503c70
hex17e19a215b8f6

420123535325430 has 128 divisors (see below), whose sum is σ = 1092501415577088. Its totient is φ = 102984457992192.

The previous prime is 420123535325407. The next prime is 420123535325437. The reversal of 420123535325430 is 34523535321024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420123535325437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371961024 + ... + 373088796.

It is an arithmetic number, because the mean of its divisors is an integer number (8535167309196).

Almost surely, 2420123535325430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420123535325430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546250707788544).

420123535325430 is an abundant number, since it is smaller than the sum of its proper divisors (672377880251658).

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

420123535325430 is a wasteful number, since it uses less digits than its factorization.

420123535325430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144830.

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 420123535325430 in words is "four hundred twenty trillion, one hundred twenty-three billion, five hundred thirty-five million, three hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 2193 3655 4386 7310 10965 16987 21930 33974 50961 84935 101922 169870 254805 288779 509610 577558 730441 866337 1127773 1443895 1460882 1732674 2191323 2255546 2887790 3383319 3652205 4331685 4382646 5638865 6766638 7304410 8663370 10956615 11277730 12417497 16916595 19172141 21913230 24834994 33833190 37252491 38344282 48494239 57516423 62087485 74504982 95860705 96988478 115032846 124174970 145482717 186262455 191721410 242471195 287582115 290965434 372524910 484942390 575164230 727413585 824402063 1454827170 1648804126 2473206189 4122010315 4946412378 8244020630 12366030945 19157479951 24732061890 38314959902 57472439853 95787399755 114944879706 191574799510 287362199265 325677159167 574724398530 651354318334 823771637893 977031477501 1628385795835 1647543275786 1954062955002 2471314913679 3256771591670 4118858189465 4885157387505 4942629827358 8237716378930 9770314775010 12356574568395 14004117844181 24713149136790 28008235688362 42012353532543 70020589220905 84024707065086 140041178441810 210061767662715 420123535325430