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153231122440 = 23511521757883
BaseRepresentation
bin1000111010110101001…
…0010110000000001000
3112122111221101112121001
42032231102112000020
510002304131404230
6154220550424344
714033132023204
oct2165522260010
9478457345531
10153231122440
1159a91a79280
12258449620b4
13115acac6b26
1475b895bb04
153ebc5c90ca
hex23ad496008

153231122440 has 128 divisors (see below), whose sum is σ = 377759790720. Its totient is φ = 55477094400.

The previous prime is 153231122437. The next prime is 153231122453. The reversal of 153231122440 is 44221132351.

It is a junction number, because it is equal to n+sod(n) for n = 153231122399 and 153231122408.

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, 173534239 + ... + 173535121.

It is an arithmetic number, because the mean of its divisors is an integer number (2951248365).

Almost surely, 2153231122440 is an apocalyptic number.

153231122440 is a gapful number since it is divisible by the number (10) 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 153231122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188879895360).

153231122440 is an abundant number, since it is smaller than the sum of its proper divisors (224528668280).

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

153231122440 is a wasteful number, since it uses less digits than its factorization.

153231122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 153231122440 its reverse (44221132351), we get a palindrome (197452254791).

The spelling of 153231122440 in words is "one hundred fifty-three billion, two hundred thirty-one million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 521 757 883 1042 1514 1766 2084 2605 3028 3532 3785 4168 4415 5210 5731 6056 7064 7570 8327 8830 9713 10420 11462 15140 16654 17660 19426 20840 22924 28655 30280 33308 35320 38852 41635 45848 48565 57310 66616 77704 83270 97130 114620 166540 194260 229240 333080 388520 394397 460043 668431 788794 920086 1336862 1577588 1840172 1971985 2300215 2673724 3155176 3342155 3680344 3943970 4338367 4600430 5060473 5347448 6684310 7352741 7887940 8676734 9200860 10120946 13368620 14705482 15775880 17353468 18401720 20241892 21691835 25302365 26737240 29410964 34706936 36763705 40483784 43383670 50604730 58821928 73527410 86767340 101209460 147054820 173534680 202418920 294109640 348252551 696505102 1393010204 1741262755 2786020408 3482525510 3830778061 6965051020 7661556122 13930102040 15323112244 19153890305 30646224488 38307780610 76615561220 153231122440