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272355143430 = 235172927536689
BaseRepresentation
bin1111110110100110100…
…0011010111100000110
3222000222220020210210110
43331221220122330012
513430240404042210
6325041311533450
725451133344016
oct3755150327406
9860886223713
10272355143430
11a55614183a7
124494b22a286
131c8b5678206
14d2797dbc46
1571406ea420
hex3f69a1af06

272355143430 has 128 divisors (see below), whose sum is σ = 716335228800. Its totient is φ = 65964867584.

The previous prime is 272355143383. The next prime is 272355143441. The reversal of 272355143430 is 34341553272.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40713526 + ... + 40720214.

It is an arithmetic number, because the mean of its divisors is an integer number (5596368975).

Almost surely, 2272355143430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272355143430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358167614400).

272355143430 is an abundant number, since it is smaller than the sum of its proper divisors (443980085370).

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

272355143430 is a wasteful number, since it uses less digits than its factorization.

272355143430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498.

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 272355143430 in words is "two hundred seventy-two billion, three hundred fifty-five million, one hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2753 2958 4930 5506 6689 7395 8259 13378 13765 14790 16518 20067 27530 33445 40134 41295 46801 66890 79837 82590 93602 100335 113713 140403 159674 193981 200670 227426 234005 239511 280806 341139 387962 399185 468010 479022 568565 581943 682278 702015 798370 969905 1137130 1163886 1197555 1357229 1404030 1705695 1939810 2395110 2714458 2909715 3297677 3411390 4071687 5819430 6595354 6786145 8143374 9893031 13572290 16488385 18414817 19786062 20358435 32976770 36829634 40716870 49465155 55244451 92074085 98930310 110488902 184148170 276222255 313051889 534029693 552444510 626103778 939155667 1068059386 1565259445 1602089079 1878311334 2670148465 3130518890 3204178158 4695778335 5340296930 8010445395 9078504781 9391556670 16020890790 18157009562 27235514343 45392523905 54471028686 90785047810 136177571715 272355143430