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423040120020 = 2232571676320029
BaseRepresentation
bin1100010011111110010…
…01111111010011010100
31111102221101121201220100
412021333021333103110
523412341232320040
6522201505534100
742364220455410
oct6117711772324
91442841551810
10423040120020
11153457134601
1269ba3344330
1330b7ab0685b
1416692135d40
15b00e4d0b30
hex627f27f4d4

423040120020 has 144 divisors (see below), whose sum is σ = 1466699794560. Its totient is φ = 96684288768.

The previous prime is 423040120003. The next prime is 423040120037. The reversal of 423040120020 is 20021040324.

423040120020 is a `hidden beast` number, since 42 + 3 + 0 + 401 + 200 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (423040120003) and next prime (423040120037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 423040119975 and 423040120002.

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 47 ways as a sum of consecutive naturals, for example, 21111366 + ... + 21131394.

It is an arithmetic number, because the mean of its divisors is an integer number (10185415240).

Almost surely, 2423040120020 is an apocalyptic number.

It is an amenable number.

423040120020 is an abundant number, since it is smaller than the sum of its proper divisors (1043659674540).

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

423040120020 is a wasteful number, since it uses less digits than its factorization.

423040120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36814 (or 36809 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 423040120020 its reverse (20021040324), we get a palindrome (443061160344).

The spelling of 423040120020 in words is "four hundred twenty-three billion, forty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 16763 20029 33526 40058 50289 60087 67052 80116 83815 100145 100578 117341 120174 140203 150867 167630 180261 200290 201156 234682 240348 251445 280406 300435 301734 335260 352023 360522 400580 420609 469364 502890 560812 586705 600870 603468 701015 704046 721044 754335 841218 901305 1005780 1056069 1173410 1201740 1261827 1402030 1408092 1508670 1682436 1760115 1802610 2103045 2112138 2346820 2523654 2804060 3017340 3520230 3605220 4206090 4224276 5047308 5280345 6309135 7040460 8412180 10560690 12618270 21121380 25236540 335746127 671492254 1007238381 1342984508 1678730635 2014476762 2350222889 3021715143 3357461270 4028953524 4700445778 5036191905 6043430286 6714922540 7050668667 9400891556 10072383810 11751114445 12086860572 14101337334 15108575715 20144767620 21152006001 23502228890 28202674668 30217151430 35253343335 42304012002 47004457780 60434302860 70506686670 84608024004 105760030005 141013373340 211520060010 423040120020