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141513453230320 = 24543317904914341
BaseRepresentation
bin100000001011010010101011…
…000111000101100011110000
3200120001112221212111120220101
4200023102223013011203300
5122022024023011332240
61220550214414122144
741544003202344343
oct4013225307054360
9616045855446811
10141513453230320
11410aa5781116a6
1213a563091b0354
1360c687a086b02
1426d340558245a
1511561529b339a
hex80b4ab1c58f0

141513453230320 has 160 divisors (see below), whose sum is σ = 337793305291200. Its totient is φ = 55104630497280.

The previous prime is 141513453230207. The next prime is 141513453230351. The reversal of 141513453230320 is 23032354315141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 141513453230320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9867746350 + ... + 9867760690.

It is an arithmetic number, because the mean of its divisors is an integer number (2111208158070).

Almost surely, 2141513453230320 is an apocalyptic number.

141513453230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141513453230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168896652645600).

141513453230320 is an abundant number, since it is smaller than the sum of its proper divisors (196279852060880).

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

141513453230320 is a wasteful number, since it uses less digits than its factorization.

141513453230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23763 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 141513453230320 in words is "one hundred forty-one trillion, five hundred thirteen billion, four hundred fifty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 317 344 430 634 688 860 1268 1585 1720 2536 3170 3440 5072 6340 9049 12680 13631 14341 18098 25360 27262 28682 36196 45245 54524 57364 68155 71705 72392 90490 109048 114728 136310 143410 144784 180980 218096 229456 272620 286820 361960 389107 545240 573640 616663 723920 778214 1090480 1147280 1233326 1556428 1945535 2466652 2868533 3083315 3112856 3891070 4546097 4933304 5737066 6166630 6225712 7782140 9092194 9866608 11474132 12333260 14342665 15564280 18184388 22730485 22948264 24666520 28685330 31128560 36368776 45460970 45896528 49333040 57370660 72737552 90921940 114741320 123346919 129771709 181843880 195482171 229482640 246693838 259543418 363687760 390964342 493387676 519086836 616734595 648858545 781928684 977410855 986775352 1038173672 1233469190 1297717090 1563857368 1954821710 1973550704 2076347344 2466938380 2595434180 3127714736 3909643420 4933876760 5190868360 5580183487 7819286840 9867753520 10381736720 11160366974 15638573680 22320733948 27900917435 41137631753 44641467896 55801834870 82275263506 89282935792 111603669740 164550527012 205688158765 223207339480 329101054024 411376317530 446414678960 658202108048 822752635060 1645505270120 1768918165379 3291010540240 3537836330758 7075672661516 8844590826895 14151345323032 17689181653790 28302690646064 35378363307580 70756726615160 141513453230320