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142501355040 = 25351126988893
BaseRepresentation
bin1000010010110110111…
…1100001111000100000
3111121211011102212210110
42010231233201320200
54313320321330130
6145244134331320
713203213350412
oct2045557417040
9447734385713
10142501355040
1155486333210
122374b4b9b40
131058cb77135
146c7b9129b2
153a90618ab0
hex212dbe1e20

142501355040 has 96 divisors (see below), whose sum is σ = 489686492736. Its totient is φ = 34545781760.

The previous prime is 142501355011. The next prime is 142501355077. The reversal of 142501355040 is 40553105241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1425013550402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142501354989 and 142501355007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13489167 + ... + 13499726.

It is an arithmetic number, because the mean of its divisors is an integer number (5100900966).

Almost surely, 2142501355040 is an apocalyptic number.

142501355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142501355040 is an abundant number, since it is smaller than the sum of its proper divisors (347185137696).

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

142501355040 is a wasteful number, since it uses less digits than its factorization.

142501355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26988922 (or 26988914 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 142501355040 in words is "one hundred forty-two billion, five hundred one million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 26988893 53977786 80966679 107955572 134944465 161933358 215911144 269888930 296877823 323866716 404833395 431822288 539777860 593755646 647733432 809666790 863644576 890633469 1079555720 1187511292 1295466864 1484389115 1619333580 1781266938 2159111440 2375022584 2590933728 2968778230 3238667160 3562533876 4318222880 4453167345 4750045168 5937556460 6477334320 7125067752 8906334690 9500090336 11875112920 12954668640 14250135504 17812669380 23750225840 28500271008 35625338760 47500451680 71250677520 142501355040