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133240134044440 = 235231911487509921
BaseRepresentation
bin11110010010111001100010…
…110111000000101100011000
3122110202122002000211221121201
4132102321202313000230120
5114431001243303410230
61151213401135243544
740031165505520513
oct3622714267005430
9573678060757551
10133240134044440
11394aa907117775
1212b3a9b73795b4
13594664c18a137
1424c8bdd477d7a
151060d358c55ca
hex792e62dc0b18

133240134044440 has 128 divisors (see below), whose sum is σ = 314674579537920. Its totient is φ = 50677726105600.

The previous prime is 133240134044387. The next prime is 133240134044471. The reversal of 133240134044440 is 44440431042331.

It is a happy number.

It is a super-2 number, since 2×1332401340444402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133240134044440.

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, 261040680 + ... + 261550600.

It is an arithmetic number, because the mean of its divisors is an integer number (2458395152640).

Almost surely, 2133240134044440 is an apocalyptic number.

133240134044440 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 133240134044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157337289768960).

133240134044440 is an abundant number, since it is smaller than the sum of its proper divisors (181434445493480).

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

133240134044440 is a wasteful number, since it uses less digits than its factorization.

133240134044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511633 (or 511629 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 133240134044440 its reverse (44440431042331), we get a palindrome (177680565086771).

The spelling of 133240134044440 in words is "one hundred thirty-three trillion, two hundred forty billion, one hundred thirty-four million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 191 230 382 460 764 920 955 1487 1528 1910 2974 3820 4393 5948 7435 7640 8786 11896 14870 17572 21965 29740 34201 35144 43930 59480 68402 87860 136804 171005 175720 273608 284017 342010 509921 568034 684020 1019842 1136068 1368040 1420085 2039684 2272136 2549605 2840170 4079368 5099210 5680340 6532391 10198420 11360680 11728183 13064782 20396840 23456366 26129564 32661955 46912732 52259128 58640915 65323910 93825464 97394911 117281830 130647820 194789822 234563660 261295640 389579644 469127320 486974555 758252527 779159288 973949110 1516505054 1947898220 2240082953 3033010108 3791262635 3895796440 4480165906 6066020216 7582525270 8960331812 11200414765 15165050540 17439808121 17920663624 22400829530 30330101080 34879616242 44801659060 69759232484 87199040605 89603318120 139518464968 144826232657 174398081210 289652465314 348796162420 579304930628 697592324840 724131163285 1158609861256 1448262326570 2896524653140 3331003351111 5793049306280 6662006702222 13324013404444 16655016755555 26648026808888 33310033511110 66620067022220 133240134044440