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132366434040 = 23335199615887
BaseRepresentation
bin111101101000110100…
…1110111111011111000
3110122122211210112212000
41323101221313323320
54132041301342130
6140450332021000
712364110060651
oct1732151677370
9418584715760
10132366434040
1151155446045
12217a1301760
13c63623a369
1465998ac528
15369a9a9260
hex1ed1a77ef8

132366434040 has 128 divisors (see below), whose sum is σ = 443439360000. Its totient is φ = 35120283264.

The previous prime is 132366434033. The next prime is 132366434069. The reversal of 132366434040 is 40434663231.

132366434040 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 6 + 643 + 4 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132366433986 and 132366434004.

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, 93024 + ... + 522863.

It is an arithmetic number, because the mean of its divisors is an integer number (3464370000).

Almost surely, 2132366434040 is an apocalyptic number.

132366434040 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 132366434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221719680000).

132366434040 is an abundant number, since it is smaller than the sum of its proper divisors (311072925960).

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

132366434040 is a wasteful number, since it uses less digits than its factorization.

132366434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616106 (or 616096 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 132366434040 in words is "one hundred thirty-two billion, three hundred sixty-six million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 199 216 270 360 398 540 597 796 995 1080 1194 1592 1791 1990 2388 2985 3582 3980 4776 5373 5970 7164 7960 8955 10746 11940 14328 17910 21492 23880 26865 35820 42984 53730 71640 107460 214920 615887 1231774 1847661 2463548 3079435 3695322 4927096 5542983 6158870 7390644 9238305 11085966 12317740 14781288 16628949 18476610 22171932 24635480 27714915 33257898 36953220 44343864 55429830 66515796 73906440 83144745 110859660 122561513 133031592 166289490 221719320 245123026 332578980 367684539 490246052 612807565 665157960 735369078 980492104 1103053617 1225615130 1470738156 1838422695 2206107234 2451230260 2941476312 3309160851 3676845390 4412214468 4902460520 5515268085 6618321702 7353690780 8824428936 11030536170 13236643404 14707381560 16545804255 22061072340 26473286808 33091608510 44122144680 66183217020 132366434040