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2141032404 = 2237197916981
BaseRepresentation
bin111111110011101…
…1000111111010100
312112012201201022110
41333213120333110
513341101014104
6552241431020
7104025321660
oct17747307724
95465651273
102141032404
119a9614375
124b903b470
132817565a4
141644cb8a0
15c7e6ee89
hex7f9d8fd4

2141032404 has 96 divisors (see below), whose sum is σ = 6086348800. Its totient is φ = 572158080.

The previous prime is 2141032381. The next prime is 2141032451. The reversal of 2141032404 is 4042301412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117594 + ... + 134574.

Almost surely, 22141032404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141032404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043174400).

2141032404 is an abundant number, since it is smaller than the sum of its proper divisors (3945316396).

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

2141032404 is a wasteful number, since it uses less digits than its factorization.

2141032404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17093 (or 17091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2141032404 is about 46271.2913586816. The cubic root of 2141032404 is about 1288.8659392014.

Adding to 2141032404 its reverse (4042301412), we get a palindrome (6183333816).

The spelling of 2141032404 in words is "two billion, one hundred forty-one million, thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 228 237 266 316 399 474 532 553 798 948 1106 1501 1596 1659 2212 3002 3318 4503 6004 6636 9006 10507 16981 18012 21014 31521 33962 42028 50943 63042 67924 101886 118867 126084 203772 237734 322639 356601 475468 645278 713202 967917 1290556 1341499 1426404 1935834 2258473 2682998 3871668 4024497 4516946 5365996 6775419 8048994 9033892 9390493 13550838 16097988 18780986 25488481 27101676 28171479 37561972 50976962 56342958 76465443 101953924 112685916 152930886 178419367 305861772 356838734 535258101 713677468 1070516202 2141032404