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2154142332240 = 2435113277286751
BaseRepresentation
bin11111010110001100111…
…000110111010101010000
321121221012212211122102020
4133112030320313111100
5240243140414112430
64325333242051440
7311426440465503
oct37261470672520
97557185748366
102154142332240
11760626208508
122a95a1aa9b80
1312819a07aca2
147639244513a
153b07a599b10
hex1f58ce37550

2154142332240 has 160 divisors (see below), whose sum is σ = 6761281821696. Its totient is φ = 567297024000.

The previous prime is 2154142332211. The next prime is 2154142332257. The reversal of 2154142332240 is 422332414512.

It is a happy number.

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, 7368865 + ... + 7655615.

Almost surely, 22154142332240 is an apocalyptic number.

2154142332240 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 2154142332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380640910848).

2154142332240 is an abundant number, since it is smaller than the sum of its proper divisors (4607139489456).

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

2154142332240 is a wasteful number, since it uses less digits than its factorization.

2154142332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287157 (or 287151 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 2154142332240 its reverse (422332414512), we get a palindrome (2576474746752).

The spelling of 2154142332240 in words is "two trillion, one hundred fifty-four billion, one hundred forty-two million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 277 339 452 554 565 678 831 904 1108 1130 1356 1385 1662 1695 1808 2216 2260 2712 2770 3324 3390 4155 4432 4520 5424 5540 6648 6780 8310 9040 11080 13296 13560 16620 22160 27120 31301 33240 62602 66480 93903 125204 156505 187806 250408 286751 313010 375612 469515 500816 573502 626020 751224 860253 939030 1147004 1252040 1433755 1502448 1720506 1878060 2294008 2504080 2867510 3441012 3756120 4301265 4588016 5735020 6882024 7512240 8602530 11470040 13764048 17205060 22940080 32402863 34410120 64805726 68820240 79430027 97208589 129611452 158860054 162014315 194417178 238290081 259222904 317720108 324028630 388834356 397150135 476580162 486042945 518445808 635440216 648057260 777668712 794300270 953160324 972085890 1191450405 1270880432 1296114520 1555337424 1588600540 1906320648 1944171780 2382900810 2592229040 3177201080 3812641296 3888343560 4765801620 6354402160 7776687120 8975593051 9531603240 17951186102 19063206480 26926779153 35902372204 44877965255 53853558306 71804744408 89755930510 107707116612 134633895765 143609488816 179511861020 215414233224 269267791530 359023722040 430828466448 538535583060 718047444080 1077071166120 2154142332240