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1342642040220 = 22351310311669579
BaseRepresentation
bin10011100010011011101…
…100111010110110011100
311202100121000212112120010
4103202123230322312130
5133444212330241340
62504445022323220
7166000631016345
oct23423354726634
94670530775503
101342642040220
1147845847a148
12198268129510
13997c264bcc0
1448dac9bd0cc
1524dd2843b80
hex1389bb3ad9c

1342642040220 has 96 divisors (see below), whose sum is σ = 4052511429120. Its totient is φ = 330175745280.

The previous prime is 1342642040219. The next prime is 1342642040249. The reversal of 1342642040220 is 220402462431.

It is a super-2 number, since 2×13426420402202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30610 + ... + 1638969.

It is an arithmetic number, because the mean of its divisors is an integer number (42213660720).

Almost surely, 21342642040220 is an apocalyptic number.

1342642040220 is a gapful number since it is divisible by the number (10) 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 1342642040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026255714560).

1342642040220 is an abundant number, since it is smaller than the sum of its proper divisors (2709869388900).

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

1342642040220 is a wasteful number, since it uses less digits than its factorization.

1342642040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670635 (or 1670633 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 1342642040220 in words is "one trillion, three hundred forty-two billion, six hundred forty-two million, forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1031 2062 3093 4124 5155 6186 10310 12372 13403 15465 20620 26806 30930 40209 53612 61860 67015 80418 134030 160836 201045 268060 402090 804180 1669579 3339158 5008737 6678316 8347895 10017474 16695790 20034948 21704527 25043685 33391580 43409054 50087370 65113581 86818108 100174740 108522635 130227162 217045270 260454324 325567905 434090540 651135810 1302271620 1721335949 3442671898 5164007847 6885343796 8606679745 10328015694 17213359490 20656031388 22377367337 25820039235 34426718980 44754734674 51640078470 67132102011 89509469348 103280156940 111886836685 134264204022 223773673370 268528408044 335660510055 447547346740 671321020110 1342642040220