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195929142000 = 24353288711311
BaseRepresentation
bin1011011001111001001…
…0010111001011110000
3200201201122020200010220
42312132102113023300
511202230330021000
6230001505253040
720104210141224
oct2663622271360
9621648220126
10195929142000
1176102990349
1231b80334180
1315625b1b567
1496a95a4784
15516ada41a0
hex2d9e4972f0

195929142000 has 160 divisors (see below), whose sum is σ = 631950219264. Its totient is φ = 52225056000.

The previous prime is 195929141987. The next prime is 195929142007. The reversal of 195929142000 is 241929591.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195929142007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17316345 + ... + 17327655.

Almost surely, 2195929142000 is an apocalyptic number.

195929142000 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 195929142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315975109632).

195929142000 is an abundant number, since it is smaller than the sum of its proper divisors (436021077264).

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

195929142000 is a wasteful number, since it uses less digits than its factorization.

195929142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14224 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 195929142000 in words is "one hundred ninety-five billion, nine hundred twenty-nine million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2887 3000 5774 6000 8661 11311 11548 14435 17322 22622 23096 28870 33933 34644 43305 45244 46192 56555 57740 67866 69288 72175 86610 90488 113110 115480 135732 138576 144350 169665 173220 180976 216525 226220 230960 271464 282775 288700 339330 346440 360875 433050 452440 542928 565550 577400 678660 692880 721750 848325 866100 904880 1082625 1131100 1154800 1357320 1413875 1443500 1696650 1732200 2165250 2262200 2714640 2827750 2887000 3393300 3464400 4241625 4330500 4524400 5655500 5774000 6786600 8483250 8661000 11311000 13573200 16966500 17322000 22622000 32654857 33933000 65309714 67866000 97964571 130619428 163274285 195929142 261238856 326548570 391858284 489822855 522477712 653097140 783716568 816371425 979645710 1306194280 1567433136 1632742850 1959291420 2449114275 2612388560 3265485700 3918582840 4081857125 4898228550 6530971400 7837165680 8163714250 9796457100 12245571375 13061942800 16327428500 19592914200 24491142750 32654857000 39185828400 48982285500 65309714000 97964571000 195929142000