Search a number
-
+
136443004440 = 233519311930433
BaseRepresentation
bin111111100010010100…
…0110000011000011000
3111001011221120210010220
41333010220300120120
54213413402120230
6142403035040040
712600120254601
oct1770450603030
9431157523126
10136443004440
1152957578796
122253a5a0020
13cb3598b0b2
146865074da8
153838806d10
hex1fc4a30618

136443004440 has 128 divisors (see below), whose sum is σ = 444771993600. Its totient is φ = 33357864960.

The previous prime is 136443004433. The next prime is 136443004487. The reversal of 136443004440 is 44400344631.

It is a super-2 number, since 2×1364430044402 (a number of 23 digits) contains 22 as substring.

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, 894537 + ... + 1035896.

It is an arithmetic number, because the mean of its divisors is an integer number (3474781200).

Almost surely, 2136443004440 is an apocalyptic number.

136443004440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136443004440 is an abundant number, since it is smaller than the sum of its proper divisors (308328989160).

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

136443004440 is a wasteful number, since it uses less digits than its factorization.

136443004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930497 (or 1930493 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 136443004440 in words is "one hundred thirty-six billion, four hundred forty-three million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1767 1860 2280 2356 2945 3534 3720 4712 5890 7068 8835 11780 14136 17670 23560 35340 70680 1930433 3860866 5791299 7721732 9652165 11582598 15443464 19304330 23165196 28956495 36678227 38608660 46330392 57912990 59843423 73356454 77217320 110034681 115825980 119686846 146712908 179530269 183391135 220069362 231651960 239373692 293425816 299217115 359060538 366782270 440138724 478747384 550173405 598434230 718121076 733564540 880277448 897651345 1100346810 1137025037 1196868460 1436242152 1467129080 1795302690 2200693620 2274050074 2393736920 3411075111 3590605380 4401387240 4548100148 5685125185 6822150222 7181210760 9096200296 11370250370 13644300444 17055375555 22740500740 27288600888 34110751110 45481001480 68221502220 136443004440