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141706417400 = 23527325138669
BaseRepresentation
bin1000001111111001011…
…1000101010011111000
3111112202202121212100122
42003332113011103320
54310203320324100
6145033220152412
713144421450102
oct2037627052370
9445682555318
10141706417400
115510863a859
1223569238708
1310494277532
146c04104572
153a45941985
hex20fe5c54f8

141706417400 has 96 divisors (see below), whose sum is σ = 335319944400. Its totient is φ = 55681920000.

The previous prime is 141706417361. The next prime is 141706417429. The reversal of 141706417400 is 4714607141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3645266 + ... + 3683934.

Almost surely, 2141706417400 is an apocalyptic number.

141706417400 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 141706417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167659972200).

141706417400 is an abundant number, since it is smaller than the sum of its proper divisors (193613527000).

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

141706417400 is a wasteful number, since it uses less digits than its factorization.

141706417400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39009 (or 39000 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 141706417400 in words is "one hundred forty-one billion, seven hundred six million, four hundred seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 251 292 365 502 584 730 1004 1255 1460 1825 2008 2510 2920 3650 5020 6275 7300 10040 12550 14600 18323 25100 36646 38669 50200 73292 77338 91615 146584 154676 183230 193345 309352 366460 386690 458075 732920 773380 916150 966725 1546760 1832300 1933450 2822837 3664600 3866900 5645674 7733800 9705919 11291348 14114185 19411838 22582696 28228370 38823676 48529595 56456740 70570925 77647352 97059190 112913480 141141850 194118380 242647975 282283700 388236760 485295950 564567400 708532087 970591900 1417064174 1941183800 2834128348 3542660435 5668256696 7085320870 14170641740 17713302175 28341283480 35426604350 70853208700 141706417400