Search a number
-
+
23345340087744 = 263397139278709
BaseRepresentation
bin1010100111011100000101…
…01100111111110111000000
310001122210101220000220121000
411103232002230333313000
511024442224030301434
6121352411242132000
74626434201421153
oct523560254776700
9101583356026530
1023345340087744
117490780960004
1227505971b1000
1310045c1148c0c
145a9cc5b71c9a
152a73ec4a3b99
hex153b82b3fdc0

23345340087744 has 112 divisors (see below), whose sum is σ = 69338512986400. Its totient is φ = 7701555437568.

The previous prime is 23345340087737. The next prime is 23345340087749. The reversal of 23345340087744 is 44778004354332.

23345340087744 is a `hidden beast` number, since 2 + 3 + 3 + 453 + 40 + 0 + 87 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345340087749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69471739 + ... + 69806970.

It is an arithmetic number, because the mean of its divisors is an integer number (619093865950).

Almost surely, 223345340087744 is an apocalyptic number.

23345340087744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23345340087744 is an abundant number, since it is smaller than the sum of its proper divisors (45993172898656).

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

23345340087744 is a wasteful number, since it uses less digits than its factorization.

23345340087744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139278827 (or 139278811 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 23345340087744 in words is "twenty-three trillion, three hundred forty-five billion, three hundred forty million, eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2328 2619 3104 3492 4656 5238 6208 6984 9312 10476 13968 18624 20952 27936 41904 55872 83808 167616 139278709 278557418 417836127 557114836 835672254 1114229672 1253508381 1671344508 2228459344 2507016762 3342689016 3760525143 4456918688 5014033524 6685378032 7521050286 8913837376 10028067048 13370756064 13510034773 15042100572 20056134096 26741512128 27020069546 30084201144 40112268192 40530104319 54040139092 60168402288 80224536384 81060208638 108080278184 120336804576 121590312957 162120417276 216160556368 240673609152 243180625914 324240834552 364770938871 432321112736 486361251828 648481669104 729541877742 864642225472 972722503656 1296963338208 1459083755484 1945445007312 2593926676416 2918167510968 3890890014624 5836335021936 7781780029248 11672670043872 23345340087744