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142466204346050 = 25213472172157653
BaseRepresentation
bin100000011001001001111111…
…100000001010011011000010
3200200102122011201211000001202
4200121021333200022123002
5122133131241303033200
61223000023141101202
742002562232246244
oct4031117740123302
9620378151730052
10142466204346050
114143763a2a3502
1213b8aaa36b7802
136165675555560
1427275887d6094
151170d161651d5
hex81927f80a6c2

142466204346050 has 144 divisors (see below), whose sum is σ = 291746150379432. Its totient is φ = 51452887987200.

The previous prime is 142466204346043. The next prime is 142466204346083. The reversal of 142466204346050 is 50643402664241.

It can be written as a sum of positive squares in 12 ways, for example, as 14834121577081 + 127632082768969 = 3851509^2 + 11297437^2 .

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 142466204345986 and 142466204346004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2471069024 + ... + 2471126676.

Almost surely, 2142466204346050 is an apocalyptic number.

142466204346050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142466204346050 is an abundant number, since it is smaller than the sum of its proper divisors (149279946033382).

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

142466204346050 is a wasteful number, since it uses less digits than its factorization.

142466204346050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59493 (or 59441 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 142466204346050 in words is "one hundred forty-two trillion, four hundred sixty-six billion, two hundred four million, three hundred forty-six thousand, fifty".

Divisors: 1 2 5 10 13 25 26 47 50 65 94 130 235 325 470 611 650 1175 1222 1721 2209 2350 3055 3442 4418 6110 8605 11045 15275 17210 22090 22373 28717 30550 43025 44746 55225 57434 57653 80887 86050 110450 111865 115306 143585 161774 223730 287170 288265 404435 559325 576530 717925 749489 808870 1051531 1118650 1435850 1441325 1498978 2022175 2103062 2709691 2882650 3747445 3801689 4044350 5257655 5419382 7494890 7603378 10515310 13548455 18737225 19008445 26288275 27096910 35225983 37474450 38016890 49421957 52576550 67742275 70451966 95042225 98843914 99220813 127355477 135484550 176129915 190084450 198441626 247109785 254710954 352259830 494219570 496104065 636777385 880649575 992208130 1235548925 1273554770 1289870569 1655621201 1761299150 2471097850 2480520325 2579741138 3183886925 3311242402 4663378211 4961040650 6367773850 6449352845 8278106005 9326756422 12898705690 16556212010 23316891055 32246764225 41390530025 46633782110 60623916743 64493528450 82781060050 116584455275 121247833486 219178775917 233168910550 303119583715 438357551834 606239167430 1095893879585 1515597918575 2191787759170 2849324086921 3031195837150 5479469397925 5698648173842 10958938795850 14246620434605 28493240869210 71233102173025 142466204346050