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142166392624920 = 23353147813122813
BaseRepresentation
bin100000010100110010110001…
…010101001101011100011000
3200122100222022100011112101010
4200110302301111031130120
5122113223233002444140
61222210201131253520
741642116511542566
oct4024626125153430
9618328270145333
10142166392624920
1141331479403984
1213b409712aa2a0
136143305738b81
142716c666a4a36
15116811a297880
hex814cb154d718

142166392624920 has 128 divisors (see below), whose sum is σ = 449624391229440. Its totient is φ = 35907503377920.

The previous prime is 142166392624849. The next prime is 142166392624939. The reversal of 142166392624920 is 29426293661241.

It is a happy number.

It is a super-2 number, since 2×1421663926249202 (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 406386567 + ... + 406736246.

It is an arithmetic number, because the mean of its divisors is an integer number (3512690556480).

Almost surely, 2142166392624920 is an apocalyptic number.

142166392624920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142166392624920 is an abundant number, since it is smaller than the sum of its proper divisors (307457998604520).

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

142166392624920 is a wasteful number, since it uses less digits than its factorization.

142166392624920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813122905 (or 813122901 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 142166392624920 in words is "one hundred forty-two trillion, one hundred sixty-six billion, three hundred ninety-two million, six hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 235 248 282 310 372 376 465 470 564 620 705 744 930 940 1128 1240 1410 1457 1860 1880 2820 2914 3720 4371 5640 5828 7285 8742 11656 14570 17484 21855 29140 34968 43710 58280 87420 174840 813122813 1626245626 2439368439 3252491252 4065614065 4878736878 6504982504 8131228130 9757473756 12196842195 16262456260 19514947512 24393684390 25206807203 32524912520 38216772211 48787368780 50413614406 75620421609 76433544422 97574737560 100827228812 114650316633 126034036015 151240843218 152867088844 191083861055 201654457624 229300633266 252068072030 302481686436 305734177688 378102108045 382167722110 458601266532 504136144060 573251583165 604963372872 756204216090 764335444220 917202533064 1008272288120 1146503166330 1184719938541 1512408432180 1528670888440 2293006332660 2369439877082 3024816864360 3554159815623 4586012665320 4738879754164 5923599692705 7108319631246 9477759508328 11847199385410 14216639262492 17770799078115 23694398770820 28433278524984 35541598156230 47388797541640 71083196312460 142166392624920