Search a number
-
+
1004120937216 = 28322915028151
BaseRepresentation
bin11101001110010100100…
…01011001001100000000
310112222210220200201121100
432213022101121030000
5112422414424442331
62045141540254400
7132355024066155
oct16471221311400
93488726621540
101004120937216
11357933101031
121427320a1400
13738c3c81927
143685787c22c
151b1bd429ae6
hexe9ca459300

1004120937216 has 108 divisors (see below), whose sum is σ = 2994960412080. Its totient is φ = 323165337600.

The previous prime is 1004120937203. The next prime is 1004120937217. The reversal of 1004120937216 is 6127390214001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1004120937217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7447260 + ... + 7580891.

Almost surely, 21004120937216 is an apocalyptic number.

1004120937216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004120937216 is an abundant number, since it is smaller than the sum of its proper divisors (1990839474864).

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

1004120937216 is a wasteful number, since it uses less digits than its factorization.

1004120937216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15028202 (or 15028185 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1004120937216 in words is "one trillion, four billion, one hundred twenty million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 15028151 30056302 45084453 60112604 90168906 120225208 135253359 180337812 240450416 270506718 360675624 435816379 480900832 541013436 721351248 871632758 961801664 1082026872 1307449137 1442702496 1743265516 1923603328 2164053744 2614898274 2885404992 3486531032 3847206656 3922347411 4328107488 5229796548 5770809984 6973062064 7844694822 8656214976 10459593096 11541619968 13946124128 15689389644 17312429952 20919186192 27892248256 31378779288 34624859904 41838372384 55784496512 62757558576 83676744768 111568993024 125515117152 167353489536 251030234304 334706979072 502060468608 1004120937216