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3481032241830 = 23511138091003003
BaseRepresentation
bin110010101001111101101…
…100001011001010100110
3110022210011010022001000210
4302221331230023022212
5424013123223214310
611223055241520250
7506332136564103
oct62517554131246
913283133261023
103481032241830
11112232aa4a780
124827927a3086
131c334c0bb720
14c06a8d75aaa
156083a05a820
hex32a7db0b2a6

3481032241830 has 128 divisors (see below), whose sum is σ = 9827192471040. Its totient is φ = 778008591360.

The previous prime is 3481032241787. The next prime is 3481032241847. The reversal of 3481032241830 is 381422301843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2969109 + ... + 3972111.

It is an arithmetic number, because the mean of its divisors is an integer number (76774941180).

Almost surely, 23481032241830 is an apocalyptic number.

3481032241830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481032241830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913596235520).

3481032241830 is an abundant number, since it is smaller than the sum of its proper divisors (6346160229210).

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

3481032241830 is a wasteful number, since it uses less digits than its factorization.

3481032241830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003846.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 3481032241830 in words is "three trillion, four hundred eighty-one billion, thirty-two million, two hundred forty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 809 858 1430 1618 2145 2427 4045 4290 4854 8090 8899 10517 12135 17798 21034 24270 26697 31551 44495 52585 53394 63102 88990 105170 115687 133485 157755 231374 266970 315510 347061 578435 694122 1003003 1156870 1735305 2006006 3009009 3470610 5015015 6018018 10030030 11033033 13039039 15045045 22066066 26078078 30090090 33099099 39117117 55165165 65195195 66198198 78234234 110330330 130390390 143429429 165495495 195585585 286858858 330990990 391171170 430288287 717147145 811429427 860576574 1434294290 1622858854 2151441435 2434288281 4057147135 4302882870 4868576562 8114294270 8925723697 10548582551 12171441405 17851447394 21097165102 24342882810 26777171091 31645747653 44628618485 52742912755 53554342182 63291495306 89257236970 105485825510 116034408061 133885855455 158228738265 232068816122 267771710910 316457476530 348103224183 580172040305 696206448366 1160344080610 1740516120915 3481032241830