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134402402420 = 2251113214321929
BaseRepresentation
bin111110100101100000…
…0011110100001110100
3110211220201211110102022
41331023000132201310
54200224003334140
6141424341532312
712465421366556
oct1751300364164
9424821743368
10134402402420
1151aaa71a240
122206b114098
13c89bc99190
14671004b4d6
1537695c40b5
hex1f4b01e874

134402402420 has 96 divisors (see below), whose sum is σ = 331758443520. Its totient is φ = 45090984960.

The previous prime is 134402402359. The next prime is 134402402423. The reversal of 134402402420 is 24204204431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 134402402420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134402402423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6118016 + ... + 6139944.

It is an arithmetic number, because the mean of its divisors is an integer number (3455817120).

Almost surely, 2134402402420 is an apocalyptic number.

134402402420 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 134402402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165879221760).

134402402420 is an abundant number, since it is smaller than the sum of its proper divisors (197356041100).

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

134402402420 is a wasteful number, since it uses less digits than its factorization.

134402402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24105 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 134402402420 its reverse (24204204431), we get a palindrome (158606606851).

The spelling of 134402402420 in words is "one hundred thirty-four billion, four hundred two million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2143 2860 4286 8572 10715 21430 21929 23573 27859 42860 43858 47146 55718 87716 94292 109645 111436 117865 139295 219290 235730 241219 278590 285077 306449 438580 471460 482438 557180 570154 612898 964876 1140308 1206095 1225796 1425385 1532245 2412190 2850770 3064490 3135847 4824380 5701540 6128980 6271694 12543388 15679235 31358470 46993847 62716940 93987694 187975388 234969235 469938470 516932317 610920011 939876940 1033864634 1221840022 2067729268 2443680044 2584661585 3054600055 5169323170 6109200110 6720120121 10338646340 12218400220 13440240242 26880480484 33600600605 67201201210 134402402420