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2042202411432 = 2332292087468647
BaseRepresentation
bin11101101101111100101…
…111111101000110101000
321020020021121010110222100
4131231330233331012220
5231424412304131212
64202101433053400
7300354452040321
oct35557457750650
97206247113870
102042202411432
11718103026167
1228b961557260
1311a76a9b0a61
1470bb3765448
15381c800abdc
hex1db7cbfd1a8

2042202411432 has 96 divisors (see below), whose sum is σ = 5724441590400. Its totient is φ = 656944213632.

The previous prime is 2042202411419. The next prime is 2042202411449. The reversal of 2042202411432 is 2341142022402.

It is a happy number.

2042202411432 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 202 + 411 + 43 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042202411396 and 2042202411405.

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, 4123333 + ... + 4591979.

It is an arithmetic number, because the mean of its divisors is an integer number (59629599900).

Almost surely, 22042202411432 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 2042202411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862220795200).

2042202411432 is an abundant number, since it is smaller than the sum of its proper divisors (3682239178968).

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

2042202411432 is a wasteful number, since it uses less digits than its factorization.

2042202411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470775 (or 470768 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2042202411432 its reverse (2341142022402), we get a palindrome (4383344433834).

The spelling of 2042202411432 in words is "two trillion, forty-two billion, two hundred two million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2087 2088 4174 6261 8348 12522 16696 18783 25044 37566 50088 60523 75132 121046 150264 181569 242092 363138 468647 484184 544707 726276 937294 1089414 1405941 1452552 1874588 2178828 2811882 3749176 4217823 4357656 5623764 8435646 11247528 13590763 16871292 27181526 33742584 40772289 54363052 81544578 108726104 122316867 163089156 244633734 326178312 489267468 978066289 978534936 1956132578 2934198867 3912265156 5868397734 7824530312 8802596601 11736795468 17605193202 23473590936 28363922381 35210386404 56727844762 70420772808 85091767143 113455689524 170183534286 226911379048 255275301429 340367068572 510550602858 680734137144 1021101205716 2042202411432