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2141544090 = 235737367751
BaseRepresentation
bin111111110100101…
…0101111010011010
312112020200201012210
41333221111322122
513341213402330
6552300415550
7104032552530
oct17751257232
95466621183
102141544090
119a9933854
124b92475b6
132818a546a
141645c2150
15c80218b0
hex7fa55e9a

2141544090 has 128 divisors (see below), whose sum is σ = 6057197568. Its totient is φ = 474336000.

The previous prime is 2141544089. The next prime is 2141544157. The reversal of 2141544090 is 904451412.

It is a super-2 number, since 2×21415440902 = 9172422178827856200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2851215 + ... + 2851965.

It is an arithmetic number, because the mean of its divisors is an integer number (47321856).

Almost surely, 22141544090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141544090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028598784).

2141544090 is an abundant number, since it is smaller than the sum of its proper divisors (3915653478).

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

2141544090 is a wasteful number, since it uses less digits than its factorization.

2141544090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2141544090 is about 46276.8202235201. The cubic root of 2141544090 is about 1288.9686065135.

The spelling of 2141544090 in words is "two billion, one hundred forty-one million, five hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 367 370 518 555 734 751 777 1101 1110 1295 1502 1554 1835 2202 2253 2569 2590 3670 3755 3885 4506 5138 5257 5505 7510 7707 7770 10514 11010 11265 12845 13579 15414 15771 22530 25690 26285 27158 27787 31542 38535 40737 52570 55574 67895 77070 78855 81474 83361 95053 135790 138935 157710 166722 190106 194509 203685 275617 277870 285159 389018 407370 416805 475265 551234 570318 583527 826851 833610 950530 972545 1167054 1378085 1425795 1653702 1929319 1945090 2756170 2851590 2917635 3858638 4134255 5787957 5835270 8268510 9646595 10197829 11575914 19293190 20395658 28939785 30593487 50989145 57879570 61186974 71384803 101978290 142769606 152967435 214154409 305934870 356924015 428308818 713848030 1070772045 2141544090