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134212423240 = 23575476831283
BaseRepresentation
bin111110011111110101…
…1110000111001001000
3110211102111100111222101
41330333223300321020
54144331340020430
6141353434003144
712460623526450
oct1747753607110
9424374314871
10134212423240
1151a12461055
12220175764b4
13c86b81006c
1466d2b16d60
153757a98dca
hex1f3faf0e48

134212423240 has 128 divisors (see below), whose sum is σ = 346524687360. Its totient is φ = 45828566784.

The previous prime is 134212423211. The next prime is 134212423297. The reversal of 134212423240 is 42324212431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 134212423199 and 134212423208.

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, 104607639 + ... + 104608921.

It is an arithmetic number, because the mean of its divisors is an integer number (2707224120).

Almost surely, 2134212423240 is an apocalyptic number.

134212423240 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 134212423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173262343680).

134212423240 is an abundant number, since it is smaller than the sum of its proper divisors (212312264120).

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

134212423240 is a wasteful number, since it uses less digits than its factorization.

134212423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 134212423240 its reverse (42324212431), we get a palindrome (176536635671).

The spelling of 134212423240 in words is "one hundred thirty-four billion, two hundred twelve million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 547 683 1094 1283 1366 2188 2566 2732 2735 3415 3829 4376 4781 5132 5464 5470 6415 6830 7658 8981 9562 10264 10940 12830 13660 15316 17962 19124 19145 21880 23905 25660 27320 30632 35924 38248 38290 44905 47810 51320 71848 76580 89810 95620 153160 179620 191240 359240 373601 701801 747202 876289 1403602 1494404 1752578 1868005 2615207 2807204 2988808 3505156 3509005 3736010 4381445 4912607 5230414 5614408 6134023 7010312 7018010 7472020 8762890 9825214 10460828 12268046 13076035 14036020 14944040 17525780 19650428 20921656 24536092 24563035 26152070 28072040 30670115 35051560 39300856 49072184 49126070 52304140 61340230 98252140 104608280 122680460 196504280 245360920 479330083 958660166 1917320332 2396650415 3355310581 3834640664 4793300830 6710621162 9586601660 13421242324 16776552905 19173203320 26842484648 33553105810 67106211620 134212423240