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141338402500 = 22547321032
BaseRepresentation
bin1000001110100001101…
…1001101111011000100
3111111211010010202211011
42003220123031323010
54303430112340000
6144532512252004
713132332412261
oct2035033157304
9444733122734
10141338402500
1154a39930809
1223485b41004
1310435c54639
146bab2a8268
153a2349a2ba
hex20e86cdec4

141338402500 has 135 divisors (see below), whose sum is σ = 316442747313. Its totient is φ = 55219536000.

The previous prime is 141338402479. The next prime is 141338402533. The reversal of 141338402500 is 5204833141.

The square root of 141338402500 is 375950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 100249490884 + 41088911616 = 316622^2 + 202704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1372217449 + ... + 1372217551.

Almost surely, 2141338402500 is an apocalyptic number.

141338402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141338402500 is the 375950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141338402500

141338402500 is an abundant number, since it is smaller than the sum of its proper divisors (175104344813).

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

141338402500 is an frugal number, since it uses more digits than its factorization.

141338402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 141338402500 in words is "one hundred forty-one billion, three hundred thirty-eight million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 103 125 146 206 250 292 365 412 500 515 625 730 1030 1250 1460 1825 2060 2500 2575 3650 5150 5329 7300 7519 9125 10300 10609 10658 12875 15038 18250 21218 21316 25750 26645 30076 36500 37595 42436 45625 51500 53045 53290 64375 75190 91250 106090 106580 128750 133225 150380 182500 187975 212180 257500 265225 266450 375950 530450 532900 548887 666125 751900 774457 939875 1060900 1097774 1326125 1332250 1548914 1879750 2195548 2652250 2664500 2744435 3097828 3330625 3759500 3872285 4699375 5304500 5488870 6630625 6661250 7744570 9398750 10977740 13261250 13322500 13722175 15489140 18797500 19361425 26522500 27444350 38722850 54888700 56535361 68610875 77445700 96807125 113070722 137221750 193614250 226141444 274443500 282676805 343054375 387228500 484035625 565353610 686108750 968071250 1130707220 1372217500 1413384025 1936142500 2826768050 5653536100 7066920125 14133840250 28267680500 35334600625 70669201250 141338402500