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232140103040 = 27519148912821
BaseRepresentation
bin1101100000110010100…
…0001101110110000000
3211012012020120002100002
43120030220031312000
512300410331244130
6254351012015132
722525435214216
oct3301450156600
9735166502302
10232140103040
118a4a504432a
1238ba73014a8
1318b76ba3821
14b342854cb6
156089dd7b45
hex360ca0dd80

232140103040 has 128 divisors (see below), whose sum is σ = 584606268000. Its totient is φ = 87902945280.

The previous prime is 232140103001. The next prime is 232140103061. The reversal of 232140103040 is 40301041232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18099830 + ... + 18112650.

Almost surely, 2232140103040 is an apocalyptic number.

232140103040 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 232140103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292303134000).

232140103040 is an abundant number, since it is smaller than the sum of its proper divisors (352466164960).

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

232140103040 is a wasteful number, since it uses less digits than its factorization.

232140103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14348 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232140103040 its reverse (40301041232), we get a palindrome (272441144272).

The spelling of 232140103040 in words is "two hundred thirty-two billion, one hundred forty million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1489 1520 2432 2978 3040 5956 6080 7445 11912 12160 12821 14890 23824 25642 28291 29780 47648 51284 56582 59560 64105 95296 102568 113164 119120 128210 141455 190592 205136 226328 238240 243599 256420 282910 410272 452656 476480 487198 512840 565820 820544 905312 952960 974396 1025680 1131640 1217995 1641088 1810624 1948792 2051360 2263280 2435990 3621248 3897584 4102720 4526560 4871980 7795168 8205440 9053120 9743960 15590336 18106240 19090469 19487920 31180672 38180938 38975840 76361876 77951680 95452345 152723752 155903360 190904690 305447504 362718911 381809380 610895008 725437822 763618760 1221790016 1450875644 1527237520 1813594555 2443580032 2901751288 3054475040 3627189110 5803502576 6108950080 7254378220 11607005152 12217900160 14508756440 23214010304 29017512880 46428020608 58035025760 116070051520 232140103040