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1042022010432 = 263131729924133
BaseRepresentation
bin11110010100111010101…
…10100000111001000000
310200121122022020201211210
433022131112200321000
5114033030113313212
62114410500010120
7135166163642664
oct17123526407100
93617568221753
101042022010432
11371a12294337
12149b4b090940
1377354230980
143861139c8a4
151c18aa0c53c
hexf29d5a0e40

1042022010432 has 112 divisors (see below), whose sum is σ = 2969389438400. Its totient is φ = 320590338048.

The previous prime is 1042022010383. The next prime is 1042022010451. The reversal of 1042022010432 is 2340102202401.

It is a junction number, because it is equal to n+sod(n) for n = 1042022010399 and 1042022010408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43166238 + ... + 43190370.

It is an arithmetic number, because the mean of its divisors is an integer number (26512405700).

Almost surely, 21042022010432 is an apocalyptic number.

1042022010432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042022010432 is an abundant number, since it is smaller than the sum of its proper divisors (1927367427968).

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

1042022010432 is a wasteful number, since it uses less digits than its factorization.

1042022010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41460 (or 41450 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1042022010432 its reverse (2340102202401), we get a palindrome (3382124212833).

The spelling of 1042022010432 in words is "one trillion, forty-two billion, twenty-two million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 17299 24133 34598 48266 51897 69196 72399 96532 103794 138392 144798 193064 207588 224887 276784 289596 313729 386128 415176 449774 553568 579192 627458 674661 772256 830352 899548 941187 1107136 1158384 1254916 1349322 1544512 1660704 1799096 1882374 2316768 2509832 2698644 3321408 3598192 3764748 4633536 5019664 5397288 7196384 7529496 10039328 10794576 14392768 15058992 20078656 21589152 30117984 43178304 60235968 417476767 834953534 1252430301 1669907068 2504860602 3339814136 5009721204 5427197971 6679628272 10019442408 10854395942 13359256544 16281593913 20038884816 21708791884 26718513088 32563187826 40077769632 43417583768 65126375652 80155539264 86835167536 130252751304 173670335072 260505502608 347340670144 521011005216 1042022010432