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32142030114300 = 22352233459828757
BaseRepresentation
bin1110100111011101001100…
…10010011000110111111100
311012210202012100020222110220
413103232212102120313330
513203103334202124200
6152205502250301340
76525120320061201
oct723564622306774
9135722170228426
1032142030114300
11a2723a4070997
123731410a27850
1314c1c99024972
147d197ad21ca8
153ab14bd384a0
hex1d3ba6498dfc

32142030114300 has 72 divisors (see below), whose sum is σ = 93396738694896. Its totient is φ = 8534421711360.

The previous prime is 32142030114263. The next prime is 32142030114343. The reversal of 32142030114300 is 341103024123.

It is a happy number.

It is a super-2 number, since 2×321420301143002 (a number of 28 digits) contains 22 as substring.

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, 229844479 + ... + 229984278.

It is an arithmetic number, because the mean of its divisors is an integer number (1297176926318).

Almost surely, 232142030114300 is an apocalyptic number.

32142030114300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32142030114300 is an abundant number, since it is smaller than the sum of its proper divisors (61254708580596).

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

32142030114300 is a wasteful number, since it uses less digits than its factorization.

32142030114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459829007 (or 459829000 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32142030114300 its reverse (341103024123), we get a palindrome (32483133138423).

The spelling of 32142030114300 in words is "thirty-two trillion, one hundred forty-two billion, thirty million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 2330 2796 3495 4660 5825 6990 11650 13980 17475 23300 34950 69900 459828757 919657514 1379486271 1839315028 2299143785 2758972542 4598287570 5517945084 6897431355 9196575140 11495718925 13794862710 22991437850 27589725420 34487156775 45982875700 68974313550 107140100381 137948627100 214280200762 321420301143 428560401524 535700501905 642840602286 1071401003810 1285681204572 1607101505715 2142802007620 2678502509525 3214203011430 5357005019050 6428406022860 8035507528575 10714010038100 16071015057150 32142030114300