Search a number
-
+
155410112040 = 233513915161703
BaseRepresentation
bin1001000010111100101…
…0100001111000101000
3112212010210112200101120
42100233022201320220
510021234442041130
6155221110015240
714141131104441
oct2205712417050
9485123480346
10155410112040
115a9aaa58427
1226152647520
13118693801a1
1477440ca2c8
154098a45910
hex242f2a1e28

155410112040 has 128 divisors (see below), whose sum is σ = 472702003200. Its totient is φ = 40871404800.

The previous prime is 155410112021. The next prime is 155410112047. The reversal of 155410112040 is 40211014551.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 155410112040.

It is not an unprimeable number, because it can be changed into a prime (155410112047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487829 + ... + 2549531.

It is an arithmetic number, because the mean of its divisors is an integer number (3692984400).

Almost surely, 2155410112040 is an apocalyptic number.

155410112040 is a gapful number since it is divisible by the number (10) 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 155410112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236351001600).

155410112040 is an abundant number, since it is smaller than the sum of its proper divisors (317291891160).

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

155410112040 is a wasteful number, since it uses less digits than its factorization.

155410112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62007 (or 62003 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 155410112040 its reverse (40211014551), we get a palindrome (195621126591).

The spelling of 155410112040 in words is "one hundred fifty-five billion, four hundred ten million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 151 278 302 417 453 556 604 695 755 834 906 1112 1208 1390 1510 1668 1812 2085 2265 2780 3020 3336 3624 4170 4530 5560 6040 8340 9060 16680 18120 20989 41978 61703 62967 83956 104945 123406 125934 167912 185109 209890 246812 251868 308515 314835 370218 419780 493624 503736 617030 629670 740436 839560 925545 1234060 1259340 1480872 1851090 2468120 2518680 3702180 7404360 8576717 9317153 17153434 18634306 25730151 27951459 34306868 37268612 42883585 46585765 51460302 55902918 68613736 74537224 85767170 93171530 102920604 111805836 128650755 139757295 171534340 186343060 205841208 223611672 257301510 279514590 343068680 372686120 514603020 559029180 1029206040 1118058360 1295084267 2590168534 3885252801 5180337068 6475421335 7770505602 10360674136 12950842670 15541011204 19426264005 25901685340 31082022408 38852528010 51803370680 77705056020 155410112040