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240061064080 = 24561118741443
BaseRepresentation
bin1101111110010011000…
…0010010001110010000
3211221122021020121011111
43133210300102032100
512413121113022310
6302141005423104
723225636243125
oct3374460221620
9757567217144
10240061064080
119289a237622
123a637b6aa94
1319839c31b16
14b89482674c
1563a04be28a
hex37e4c12390

240061064080 has 80 divisors (see below), whose sum is σ = 567783463104. Its totient is φ = 94368407040.

The previous prime is 240061064063. The next prime is 240061064081. The reversal of 240061064080 is 80460160042.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (240061064081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5771839 + ... + 5813281.

Almost surely, 2240061064080 is an apocalyptic number.

240061064080 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 240061064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283891731552).

240061064080 is an abundant number, since it is smaller than the sum of its proper divisors (327722399024).

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

240061064080 is a wasteful number, since it uses less digits than its factorization.

240061064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42704 (or 42698 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 240061064080 in words is "two hundred forty billion, sixty-one million, sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1187 1220 2374 2440 4748 4880 5935 9496 11870 18992 23740 41443 47480 72407 82886 94960 144814 165772 207215 289628 331544 362035 414430 579256 663088 724070 828860 1158512 1448140 1657720 2528023 2896280 3315440 5056046 5792560 10112092 12640115 20224184 25280230 40448368 49192841 50560460 98385682 101120920 196771364 202241840 245964205 393542728 491928410 787085456 983856820 1967713640 3000763301 3935427280 6001526602 12003053204 15003816505 24006106408 30007633010 48012212816 60015266020 120030532040 240061064080