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2153041002140 = 2257431129316783
BaseRepresentation
bin11111010101001011001…
…111100111111010011100
321121211101010111021112112
4133111023033213322130
5240233411444032030
64325032100453152
7311360235362540
oct37251317477234
97554333437475
102153041002140
11760110574946
122a93350aa1b8
13128052b52a82
14762ca07ba20
153b013a4ea95
hex1f54b3e7e9c

2153041002140 has 96 divisors (see below), whose sum is σ = 5292168161280. Its totient is φ = 720377473536.

The previous prime is 2153041002137. The next prime is 2153041002169. The reversal of 2153041002140 is 412001403512.

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, 6638189 + ... + 6954971.

It is an arithmetic number, because the mean of its divisors is an integer number (55126751680).

Almost surely, 22153041002140 is an apocalyptic number.

2153041002140 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 2153041002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646084080640).

2153041002140 is an abundant number, since it is smaller than the sum of its proper divisors (3139127159140).

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

2153041002140 is a wasteful number, since it uses less digits than its factorization.

2153041002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317971 (or 317969 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 2153041002140 its reverse (412001403512), we get a palindrome (2565042405652).

The spelling of 2153041002140 in words is "two trillion, one hundred fifty-three billion, forty-one million, two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1129 1204 1505 2258 3010 4516 5645 6020 7903 11290 15806 22580 31612 39515 48547 79030 97094 158060 194188 242735 316783 339829 485470 633566 679658 970940 1267132 1359316 1583915 1699145 2217481 3167830 3398290 4434962 6335660 6796580 8869924 11087405 13621669 22174810 27243338 44349620 54486676 68108345 95351683 136216690 190703366 272433380 357648007 381406732 476758415 715296014 953516830 1430592028 1788240035 1907033660 2503536049 3576480070 5007072098 7152960140 10014144196 12517680245 15378864301 25035360490 30757728602 50070720980 61515457204 76894321505 107652050107 153788643010 215304100214 307577286020 430608200428 538260250535 1076520501070 2153041002140