Search a number
-
+
42130810436820 = 22357472134286243
BaseRepresentation
bin10011001010001010101111…
…11111010111110011010100
312112011122222121200120012220
421211011113333113303110
521010232344432434240
6225334343242542340
711605564520651520
oct1145052777276324
9175148877616186
1042130810436820
1112473638164186
1248852972079b0
131a67bc289bb71
14a591dbd18d80
154d0dbbc975d0
hex265157fd7cd4

42130810436820 has 96 divisors (see below), whose sum is σ = 137687074172928. Its totient is φ = 9425008044672.

The previous prime is 42130810436749. The next prime is 42130810436849. The reversal of 42130810436820 is 2863401803124.

It is a super-2 number, since 2×421308104368202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067123382 + ... + 1067162861.

It is an arithmetic number, because the mean of its divisors is an integer number (1434240355968).

Almost surely, 242130810436820 is an apocalyptic number.

It is an amenable number.

42130810436820 is an abundant number, since it is smaller than the sum of its proper divisors (95556263736108).

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

42130810436820 is a wasteful number, since it uses less digits than its factorization.

42130810436820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134286309 (or 2134286307 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 42130810436820 in words is "forty-two trillion, one hundred thirty billion, eight hundred ten million, four hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 9870 19740 2134286243 4268572486 6402858729 8537144972 10671431215 12805717458 14940003701 21342862430 25611434916 29880007402 32014293645 42685724860 44820011103 59760014804 64028587290 74700018505 89640022206 100311453421 128057174580 149400037010 179280044412 200622906842 224100055515 298800074020 300934360263 401245813684 448200111030 501557267105 601868720526 702180173947 896400222060 1003114534210 1203737441052 1404360347894 1504671801315 2006229068420 2106540521841 2808720695788 3009343602630 3510900869735 4213081043682 6018687205260 7021801739470 8426162087364 10532702609205 14043603478940 21065405218410 42130810436820