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2348041046912 = 27113479834889
BaseRepresentation
bin100010001010110010001…
…001110000101110000000
322022110201000110220212222
4202022302021300232000
5301432242002000122
64554401500310212
7331432434406601
oct42126211605600
98273630426788
102348041046912
11825886a59740
1231b096242368
1314055b32a852
14819080adda8
154112807ab42
hex222b2270b80

2348041046912 has 128 divisors (see below), whose sum is σ = 5123946988800. Its totient is φ = 1062915543040.

The previous prime is 2348041046899. The next prime is 2348041046941. The reversal of 2348041046912 is 2196401408432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 480267764 + ... + 480272652.

It is an arithmetic number, because the mean of its divisors is an integer number (40030835850).

Almost surely, 22348041046912 is an apocalyptic number.

2348041046912 is a gapful number since it is divisible by the number (22) 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 2348041046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561973494400).

2348041046912 is an abundant number, since it is smaller than the sum of its proper divisors (2775905941888).

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

2348041046912 is a wasteful number, since it uses less digits than its factorization.

2348041046912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 2348041046912 in words is "two trillion, three hundred forty-eight billion, forty-one million, forty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 347 352 694 704 983 1388 1408 1966 2776 3817 3932 4889 5552 7634 7864 9778 10813 11104 15268 15728 19556 21626 22208 30536 31456 39112 43252 44416 53779 61072 62912 78224 86504 107558 122144 125824 156448 173008 215116 244288 312896 341101 346016 430232 488576 625792 682202 692032 860464 1364404 1384064 1696483 1720928 2728808 3392966 3441856 3752111 4805887 5457616 6785932 6883712 7504222 9611774 10915232 13571864 15008444 18661313 19223548 21830464 27143728 30016888 37322626 38447096 43660928 52864757 54287456 60033776 74645252 76894192 105729514 108574912 120067552 149290504 153788384 211459028 217149824 240135104 298581008 307576768 422918056 480270208 597162016 615153536 845836112 1194324032 1667642789 1691672224 2388648064 3335285578 3383344448 6670571156 6766688896 13341142312 18344070679 26682284624 36688141358 53364569248 73376282716 106729138496 146752565432 213458276992 293505130864 587010261728 1174020523456 2348041046912