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4048000880840 = 2357109132634367
BaseRepresentation
bin111010111001111111101…
…001111001000011001000
3112022222121010211002121122
4322321333221321003020
51012310301211141330
612335343111254412
7565313143523120
oct72717751710310
915288533732548
104048000880840
111320824a69924
1255464337a408
1323495663bcc7
14ddcd2363c80
15704700b35e5
hex3ae7fa790c8

4048000880840 has 64 divisors (see below), whose sum is σ = 10504641945600. Its totient is φ = 1375153106688.

The previous prime is 4048000880719. The next prime is 4048000880843. The reversal of 4048000880840 is 480880008404.

It is a super-2 number, since 2×40480008808402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4048000880791 and 4048000880800.

It is not an unprimeable number, because it can be changed into a prime (4048000880843) 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, 66286664 + ... + 66347703.

It is an arithmetic number, because the mean of its divisors is an integer number (164135030400).

Almost surely, 24048000880840 is an apocalyptic number.

4048000880840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4048000880840 is an abundant number, since it is smaller than the sum of its proper divisors (6456641064760).

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

4048000880840 is a wasteful number, since it uses less digits than its factorization.

4048000880840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132634494 (or 132634490 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 4048000880840 in words is "four trillion, forty-eight billion, eight hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 3052 3815 4360 6104 7630 15260 30520 132634367 265268734 530537468 663171835 928440569 1061074936 1326343670 1856881138 2652687340 3713762276 4642202845 5305374680 7427524552 9284405690 14457146003 18568811380 28914292006 37137622760 57828584012 72285730015 101200022021 115657168024 144571460030 202400044042 289142920060 404800088084 506000110105 578285840120 809600176168 1012000220210 2024000440420 4048000880840