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142032103950 = 235211457188359
BaseRepresentation
bin1000010001000111000…
…1011110101000001110
3111120121110110110022110
42010101301132220032
54311340204311300
6145125412524450
713155454651422
oct2042161365016
9446543413273
10142032103950
11552654689a0
122363a320726
1310516899b79
146c35482b82
153a64326550
hex2111c5ea0e

142032103950 has 96 divisors (see below), whose sum is σ = 385104280320. Its totient is φ = 34356499200.

The previous prime is 142032103949. The next prime is 142032104003. The reversal of 142032103950 is 59301230241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659871 + ... + 848229.

It is an arithmetic number, because the mean of its divisors is an integer number (4011502920).

Almost surely, 2142032103950 is an apocalyptic number.

142032103950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142032103950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192552140160).

142032103950 is an abundant number, since it is smaller than the sum of its proper divisors (243072176370).

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

142032103950 is a wasteful number, since it uses less digits than its factorization.

142032103950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188842 (or 188837 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 142032103950 in words is "one hundred forty-two billion, thirty-two million, one hundred three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 457 550 825 914 1371 1650 2285 2742 4570 5027 6855 10054 11425 13710 15081 22850 25135 30162 34275 50270 68550 75405 125675 150810 188359 251350 376718 377025 565077 754050 941795 1130154 1883590 2071949 2825385 4143898 4708975 5650770 6215847 9417950 10359745 12431694 14126925 20719490 28253850 31079235 51798725 62158470 86080063 103597450 155396175 172160126 258240189 310792350 430400315 516480378 860800630 946880693 1291200945 1893761386 2152001575 2582401890 2840642079 4304003150 4734403465 5681284158 6456004725 9468806930 12912009450 14203210395 23672017325 28406420790 47344034650 71016051975 142032103950