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422134043040 = 253251180124841
BaseRepresentation
bin1100010010010010010…
…01100101000110100000
31111100121020200020221200
412021021021211012200
523404012303334130
6521531541321200
742332606106513
oct6111111450640
91440536606850
10422134043040
11153031731556
126998ba06200
1330a65193128
1416607a76d7a
15aea9ba3760
hex62492651a0

422134043040 has 144 divisors (see below), whose sum is σ = 1440712485576. Its totient is φ = 112555008000.

The previous prime is 422134043027. The next prime is 422134043059. The reversal of 422134043040 is 40340431224.

It is a happy number.

422134043040 is a `hidden beast` number, since 4 + 2 + 213 + 404 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242666582544 + 179467460496 = 492612^2 + 423636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 422134042995 and 422134043013.

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, 16981020 + ... + 17005860.

Almost surely, 2422134043040 is an apocalyptic number.

422134043040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422134043040 is an abundant number, since it is smaller than the sum of its proper divisors (1018578442536).

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

422134043040 is a wasteful number, since it uses less digits than its factorization.

422134043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36663 (or 36652 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 422134043040 its reverse (40340431224), we get a palindrome (462474474264).

The spelling of 422134043040 in words is "four hundred twenty-two billion, one hundred thirty-four million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 11801 23602 24841 35403 47204 49682 59005 70806 74523 94408 99364 106209 118010 124205 141612 149046 177015 188816 198728 212418 223569 236020 248410 283224 298092 354030 372615 377632 397456 424836 447138 472040 496820 531045 566448 596184 708060 745230 794912 849672 894276 944080 993640 1062090 1117845 1132896 1192368 1416120 1490460 1699344 1788552 1888160 1987280 2124180 2235690 2384736 2832240 2980920 3398688 3577104 3974560 4248360 4471380 5664480 5961840 7154208 8496720 8942760 11923680 16993440 17885520 35771040 293148641 586297282 879445923 1172594564 1465743205 1758891846 2345189128 2638337769 2931486410 3517783692 4397229615 4690378256 5276675538 5862972820 7035567384 8794459230 9380756512 10553351076 11725945640 13191688845 14071134768 17588918460 21106702152 23451891280 26383377690 28142269536 35177836920 42213404304 46903782560 52766755380 70355673840 84426808608 105533510760 140711347680 211067021520 422134043040