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246153220140 = 223553307252139
BaseRepresentation
bin1110010100111111100…
…0000001000000101100
3212112100211201012012010
43211033320001000230
513013110211021030
6305025313441220
723532622564062
oct3451770010054
9775324635163
10246153220140
1195436091643
123b858270210
131a29b125ca9
14bcb1984032
15660a25c6b0
hex394fe0102c

246153220140 has 96 divisors (see below), whose sum is σ = 704523536640. Its totient is φ = 64192317696.

The previous prime is 246153220139. The next prime is 246153220163. The reversal of 246153220140 is 41022351642.

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

It is a junction number, because it is equal to n+sod(n) for n = 246153220098 and 246153220107.

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, 850191 + ... + 1102329.

It is an arithmetic number, because the mean of its divisors is an integer number (7338786840).

Almost surely, 2246153220140 is an apocalyptic number.

246153220140 is a gapful number since it is divisible by the number (20) 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 246153220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352261768320).

246153220140 is an abundant number, since it is smaller than the sum of its proper divisors (458370316500).

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

246153220140 is a wasteful number, since it uses less digits than its factorization.

246153220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252511 (or 252509 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 246153220140 its reverse (41022351642), we get a palindrome (287175571782).

The spelling of 246153220140 in words is "two hundred forty-six billion, one hundred fifty-three million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 307 318 530 614 636 795 921 1060 1228 1535 1590 1842 3070 3180 3684 4605 6140 9210 16271 18420 32542 48813 65084 81355 97626 162710 195252 244065 252139 325420 488130 504278 756417 976260 1008556 1260695 1512834 2521390 3025668 3782085 5042780 7564170 13363367 15128340 26726734 40090101 53453468 66816835 77406673 80180202 133633670 154813346 160360404 200450505 232220019 267267340 309626692 387033365 400901010 464440038 774066730 801802020 928880076 1161100095 1548133460 2322200190 4102553669 4644400380 8205107338 12307661007 16410214676 20512768345 24615322014 41025536690 49230644028 61538305035 82051073380 123076610070 246153220140