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1099098144 = 253217297741
BaseRepresentation
bin100000110000010…
…1110100000100000
32211121010222012200
41001200232200200
54222332120034
6301021253200
736144115524
oct10140564040
92747128180
101099098144
11514459781
12268104200
13146926341
14a5d85d84
1566758a99
hex4182e820

1099098144 has 144 divisors (see below), whose sum is σ = 3423976920. Its totient is φ = 332881920.

The previous prime is 1099098131. The next prime is 1099098157. The reversal of 1099098144 is 4418909901.

It is an interprime number because it is at equal distance from previous prime (1099098131) and next prime (1099098157).

It can be written as a sum of positive squares in 4 ways, for example, as 940035600 + 159062544 = 30660^2 + 12612^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1099098144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138114 + ... + 145854.

Almost surely, 21099098144 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 1099098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711988460).

1099098144 is an abundant number, since it is smaller than the sum of its proper divisors (2324878776).

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

1099098144 is a wasteful number, since it uses less digits than its factorization.

1099098144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1099098144 is about 33152.6491249191. The cubic root of 1099098144 is about 1031.9979268031.

The spelling of 1099098144 in words is "one billion, ninety-nine million, ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7741 7888 8352 8874 11832 15482 15776 17748 23223 23664 30964 35496 46446 47328 61928 69669 70992 92892 123856 131597 139338 141984 185784 224489 247712 263194 278676 371568 394791 448978 526388 557352 673467 743136 789582 897956 1052776 1114704 1184373 1346934 1579164 1795912 2020401 2105552 2229408 2368746 2693868 3158328 3591824 3816313 4040802 4211104 4737492 5387736 6316656 7183648 7632626 8081604 9474984 10775472 11448939 12633312 15265252 16163208 18949968 21550944 22897878 30530504 32326416 34346817 37899936 45795756 61061008 64652832 68693634 91591512 122122016 137387268 183183024 274774536 366366048 549549072 1099098144