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1142033400024 = 23311231291145687
BaseRepresentation
bin10000100111100110011…
…111101100000011011000
311001011210021022201200020
4100213212133230003120
5122202341022300044
62232350511110440
7145336436506206
oct20474637540330
94034707281606
101142033400024
11400374099620
12165400812420
13839021ca5ca
143d3bbb46076
151ea90c46a19
hex109e67ec0d8

1142033400024 has 128 divisors (see below), whose sum is σ = 3252595322880. Its totient is φ = 330765494400.

The previous prime is 1142033400019. The next prime is 1142033400043. The reversal of 1142033400024 is 4200043302411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1142033399967 and 1142033400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7766109 + ... + 7911795.

It is an arithmetic number, because the mean of its divisors is an integer number (25410900960).

Almost surely, 21142033400024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142033400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626297661440).

1142033400024 is an abundant number, since it is smaller than the sum of its proper divisors (2110561922856).

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

1142033400024 is a wasteful number, since it uses less digits than its factorization.

1142033400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147021 (or 147017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1142033400024 its reverse (4200043302411), we get a palindrome (5342076702435).

The spelling of 1142033400024 in words is "one trillion, one hundred forty-two billion, thirty-three million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1291 1518 2024 2582 3036 3873 5164 6072 7746 10328 14201 15492 28402 29693 30984 42603 56804 59386 85206 89079 113608 118772 145687 170412 178158 237544 291374 326623 340824 356316 437061 582748 653246 712632 874122 979869 1165496 1306492 1602557 1748244 1959738 2612984 3205114 3350801 3496488 3919476 4807671 6410228 6701602 7838952 9615342 10052403 12820456 13403204 19230684 20104806 26806408 36858811 38461368 40209612 73717622 80419224 110576433 147435244 188081917 221152866 294870488 376163834 442305732 564245751 752327668 884611464 1128491502 1504655336 2068901087 2256983004 4137802174 4325884091 4513966008 6206703261 8275604348 8651768182 12413406522 12977652273 16551208696 17303536364 24826813044 25955304546 34607072728 47584725001 49653626088 51910609092 95169450002 103821218184 142754175003 190338900004 285508350006 380677800008 571016700012 1142033400024