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42332141004240 = 2435907194469593
BaseRepresentation
bin10011010000000001110000…
…01110100010010111010000
312112212220122200200002002010
421220000320032202113100
521022032211044113430
6230011041143422520
711626252626360033
oct1150007016422720
9175786580602063
1042332141004240
1112540a6200037a
1248b8304454a40
131a80b99769329
14a64c5a9d701a
154d6251e48cb0
hex2680383a25d0

42332141004240 has 80 divisors (see below), whose sum is σ = 131374323165888. Its totient is φ = 11276124822528.

The previous prime is 42332141004203. The next prime is 42332141004277. The reversal of 42332141004240 is 4240014123324.

It is an interprime number because it is at equal distance from previous prime (42332141004203) and next prime (42332141004277).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42332141004198 and 42332141004207.

It is a congruent number.

It is an unprimeable number.

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, 97017117 + ... + 97452476.

Almost surely, 242332141004240 is an apocalyptic number.

42332141004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332141004240 is an abundant number, since it is smaller than the sum of its proper divisors (89042182161648).

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

42332141004240 is a wasteful number, since it uses less digits than its factorization.

42332141004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194470516 (or 194470510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42332141004240 its reverse (4240014123324), we get a palindrome (46572155127564).

The spelling of 42332141004240 in words is "forty-two trillion, three hundred thirty-two billion, one hundred forty-one million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 907 1814 2721 3628 4535 5442 7256 9070 10884 13605 14512 18140 21768 27210 36280 43536 54420 72560 108840 217680 194469593 388939186 583408779 777878372 972347965 1166817558 1555756744 1944695930 2333635116 2917043895 3111513488 3889391860 4667270232 5834087790 7778783720 9334540464 11668175580 15557567440 23336351160 46672702320 176383920851 352767841702 529151762553 705535683404 881919604255 1058303525106 1411071366808 1763839208510 2116607050212 2645758812765 2822142733616 3527678417020 4233214100424 5291517625530 7055356834040 8466428200848 10583035251060 14110713668080 21166070502120 42332141004240