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20340135424 = 29741149929
BaseRepresentation
bin10010111100010111…
…011101011000000000
31221111112112221100001
4102330113131120000
5313124033313144
613202155405344
71320022204240
oct227427353000
957445487301
1020340135424
118698526884
123b37a53854
131bc1cb8abb
14dad545b20
157e0a56bd4
hex4bc5dd600

20340135424 has 160 divisors (see below), whose sum is σ = 47950056000. Its totient is φ = 8438415360.

The previous prime is 20340135419. The next prime is 20340135511. The reversal of 20340135424 is 42453104302.

It is a happy number.

It is a super-2 number, since 2×203401354242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20340135392 and 20340135401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21894192 + ... + 21895120.

It is an arithmetic number, because the mean of its divisors is an integer number (299687850).

Almost surely, 220340135424 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 20340135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975028000).

20340135424 is an abundant number, since it is smaller than the sum of its proper divisors (27609920576).

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

20340135424 is an equidigital number, since it uses as much as digits as its factorization.

20340135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 20340135424 its reverse (42453104302), we get a palindrome (62793239726).

The spelling of 20340135424 in words is "twenty billion, three hundred forty million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 149 164 224 256 287 298 328 448 512 574 596 656 896 929 1043 1148 1192 1312 1792 1858 2086 2296 2384 2624 3584 3716 4172 4592 4768 5248 6109 6503 7432 8344 9184 9536 10496 12218 13006 14864 16688 18368 19072 20992 24436 26012 29728 33376 36736 38089 38144 42763 48872 52024 59456 66752 73472 76178 76288 85526 97744 104048 118912 133504 138421 146944 152356 171052 195488 208096 237824 266623 267008 276842 304712 342104 390976 416192 475648 533246 534016 553684 609424 684208 781952 832384 968947 1066492 1107368 1218848 1368416 1563904 1664768 1937894 2132984 2214736 2437696 2736832 3127808 3329536 3875788 4265968 4429472 4875392 5473664 5675261 7751576 8531936 8858944 9750784 10947328 11350522 15503152 17063872 17717888 19501568 21894656 22701044 31006304 34127744 35435776 39726827 45402088 62012608 68255488 70871552 79453654 90804176 124025216 136510976 158907308 181608352 248050432 317814616 363216704 496100864 635629232 726433408 1271258464 1452866816 2542516928 2905733632 5085033856 10170067712 20340135424