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10142004420 = 2232559954991
BaseRepresentation
bin10010111001000001…
…01011010011000100
3222011210222012120100
421130200223103010
5131232323120140
64354214204100
7506220421002
oct113440532304
928153865510
1010142004420
114334996039
121b70653630
13c58249c62
146c2d69a72
153e55ad530
hex25c82b4c4

10142004420 has 72 divisors (see below), whose sum is σ = 31285537920. Its totient is φ = 2658692160.

The previous prime is 10142004409. The next prime is 10142004469. The reversal of 10142004420 is 2440024101.

10142004420 is a `hidden beast` number, since 10 + 14 + 200 + 442 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10142004393 and 10142004402.

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, 466876 + ... + 488115.

It is an arithmetic number, because the mean of its divisors is an integer number (434521360).

Almost surely, 210142004420 is an apocalyptic number.

10142004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142004420 is an abundant number, since it is smaller than the sum of its proper divisors (21143533500).

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

10142004420 is a wasteful number, since it uses less digits than its factorization.

10142004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955065 (or 955060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10142004420 its reverse (2440024101), we get a palindrome (12582028521).

The spelling of 10142004420 in words is "ten billion, one hundred forty-two million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 954991 1909982 2864973 3819964 4774955 5729946 8594919 9549910 11459892 14324865 17189838 19099820 28649730 34379676 42974595 56344469 57299460 85949190 112688938 169033407 171898380 225377876 281722345 338066814 507100221 563444690 676133628 845167035 1014200442 1126889380 1690334070 2028400884 2535501105 3380668140 5071002210 10142004420