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1021420041432 = 233722141405677
BaseRepresentation
bin11101101110100010110…
…00001111010011011000
310121122110112000021100220
432313101120033103120
5113213332012311212
62101122304200040
7133536512046300
oct16672130172330
93548415007326
101021420041432
113641aaa9207a
12145b5b609020
137541cc1b17b
143761917a600
151b881ed538c
hexedd160f4d8

1021420041432 has 96 divisors (see below), whose sum is σ = 2971850983920. Its totient is φ = 291697271040.

The previous prime is 1021420041413. The next prime is 1021420041449. The reversal of 1021420041432 is 2341400241201.

It is a super-2 number, since 2×10214200414322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 2314978 + ... + 2720654.

Almost surely, 21021420041432 is an apocalyptic number.

1021420041432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021420041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485925491960).

1021420041432 is an abundant number, since it is smaller than the sum of its proper divisors (1950430942488).

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

1021420041432 is a wasteful number, since it uses less digits than its factorization.

1021420041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407841 (or 407830 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1021420041432 its reverse (2341400241201), we get a palindrome (3362820282633).

The spelling of 1021420041432 in words is "one trillion, twenty-one billion, four hundred twenty million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2141 4282 6423 8564 12846 14987 17128 25692 29974 44961 51384 59948 89922 104909 119896 179844 209818 314727 359688 405677 419636 629454 811354 839272 1217031 1258908 1622708 2434062 2517816 2839739 3245416 4868124 5679478 8519217 9736248 11358956 17038434 19878173 22717912 34076868 39756346 59634519 68153736 79512692 119269038 159025384 238538076 477076152 868554457 1737108914 2605663371 3474217828 5211326742 6079881199 6948435656 10422653484 12159762398 18239643597 20845306968 24319524796 36479287194 42559168393 48639049592 72958574388 85118336786 127677505179 145917148776 170236673572 255355010358 340473347144 510710020716 1021420041432