Search a number
-
+
13352012502240 = 2535102203272171
BaseRepresentation
bin1100001001001100000111…
…1101100101010011100000
31202021102212201010102201110
43002103001331211103200
53222224410200032430
644221455130103320
72545436213452206
oct302230175452340
952242781112643
1013352012502240
114288613a75835
1215b7861b7ab40
1375b12148a869
14342352c89076
151824b321c7b0
hexc24c1f654e0

13352012502240 has 96 divisors (see below), whose sum is σ = 42059405437056. Its totient is φ = 3560488747520.

The previous prime is 13352012502233. The next prime is 13352012502281. The reversal of 13352012502240 is 4220521025331.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 13352012502198 and 13352012502207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48921355 + ... + 49193525.

It is an arithmetic number, because the mean of its divisors is an integer number (438118806636).

Almost surely, 213352012502240 is an apocalyptic number.

13352012502240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13352012502240 is an abundant number, since it is smaller than the sum of its proper divisors (28707392934816).

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

13352012502240 is a wasteful number, since it uses less digits than its factorization.

13352012502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374392 (or 374384 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13352012502240 its reverse (4220521025331), we get a palindrome (17572533527571).

The spelling of 13352012502240 in words is "thirteen trillion, three hundred fifty-two billion, twelve million, five hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 102203 204406 272171 306609 408812 511015 544342 613218 816513 817624 1022030 1088684 1226436 1360855 1533045 1633026 1635248 2044060 2177368 2452872 2721710 3066090 3266052 3270496 4082565 4088120 4354736 4905744 5443420 6132180 6532104 8165130 8176240 8709472 9811488 10886840 12264360 13064208 16330260 16352480 21773680 24528720 26128416 32660520 43547360 49057440 65321040 130642080 27816692713 55633385426 83450078139 111266770852 139083463565 166900156278 222533541704 278166927130 333800312556 417250390695 445067083408 556333854260 667600625112 834500781390 890134166816 1112667708520 1335201250224 1669001562780 2225335417040 2670402500448 3338003125560 4450670834080 6676006251120 13352012502240