Search a number
-
+
136944921240 = 2334559716389
BaseRepresentation
bin111111110001010001…
…1011010101010011000
3111002110221000210120000
41333202203122222120
54220430344434430
6142524524533000
712615423424101
oct1774243325230
9432427023500
10136944921240
1153094924266
122265a6b1160
13cbb596479a
1468b19a93a8
1538678ece60
hex1fe28daa98

136944921240 has 160 divisors (see below), whose sum is σ = 468089226000. Its totient is φ = 35899635456.

The previous prime is 136944921173. The next prime is 136944921257. The reversal of 136944921240 is 42129449631.

136944921240 is a `hidden beast` number, since 1 + 36 + 9 + 4 + 492 + 124 + 0 = 666.

It is a super-2 number, since 2×1369449212402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167035 + ... + 549354.

Almost surely, 2136944921240 is an apocalyptic number.

136944921240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136944921240 is an abundant number, since it is smaller than the sum of its proper divisors (331144304760).

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

136944921240 is a wasteful number, since it uses less digits than its factorization.

136944921240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716471 (or 716458 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 136944921240 in words is "one hundred thirty-six billion, nine hundred forty-four million, nine hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 81 90 108 118 120 135 162 177 180 216 236 270 295 324 354 360 405 472 531 540 590 648 708 810 885 1062 1080 1180 1416 1593 1620 1770 2124 2360 2655 3186 3240 3540 4248 4779 5310 6372 7080 7965 9558 10620 12744 15930 19116 21240 23895 31860 38232 47790 63720 95580 191160 716389 1432778 2149167 2865556 3581945 4298334 5731112 6447501 7163890 8596668 10745835 12895002 14327780 17193336 19342503 21491670 25790004 28655560 32237505 38685006 42266951 42983340 51580008 58027509 64475010 77370012 84533902 85966680 96712515 116055018 126800853 128950020 154740024 169067804 193425030 211334755 232110036 253601706 257900040 290137545 338135608 380402559 386850060 422669510 464220072 507203412 580275090 634004265 760805118 773700120 845339020 1014406824 1141207677 1160550180 1268008530 1521610236 1690678040 1902012795 2282415354 2321100360 2536017060 3043220472 3423623031 3804025590 4564830708 5072034120 5706038385 6847246062 7608051180 9129661416 11412076770 13694492124 15216102360 17118115155 22824153540 27388984248 34236230310 45648307080 68472460620 136944921240