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13420132403440 = 2457138179173431
BaseRepresentation
bin1100001101001001111000…
…1110011000100011110000
31202111221201002201221220011
43003102132032120203300
53224333412343402230
644313042420024304
72553400251200230
oct303223616304360
952457632657804
1013420132403440
11430449a974844
121608ab3232094
1376468924bac9
14345775cd7cc0
1518414d751e2a
hexc349e3988f0

13420132403440 has 80 divisors (see below), whose sum is σ = 35659672634880. Its totient is φ = 4601128423680.

The previous prime is 13420132403413. The next prime is 13420132403449. The reversal of 13420132403440 is 4430423102431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420132403449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77293525 + ... + 77466955.

It is an arithmetic number, because the mean of its divisors is an integer number (445745907936).

Almost surely, 213420132403440 is an apocalyptic number.

13420132403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420132403440 is an abundant number, since it is smaller than the sum of its proper divisors (22239540231440).

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

13420132403440 is a wasteful number, since it uses less digits than its factorization.

13420132403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311630 (or 311624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 13420132403440 its reverse (4430423102431), we get a palindrome (17850555505871).

The spelling of 13420132403440 in words is "thirteen trillion, four hundred twenty billion, one hundred thirty-two million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 138179 173431 276358 346862 552716 690895 693724 867155 967253 1105432 1214017 1381790 1387448 1734310 1934506 2210864 2428034 2763580 2774896 3468620 3869012 4836265 4856068 5527160 6070085 6937240 7738024 9672530 9712136 11054320 12140170 13874480 15476048 19345060 19424272 24280340 38690120 48560680 77380240 97121360 23964522149 47929044298 95858088596 119822610745 167751655043 191716177192 239645221490 335503310086 383432354384 479290442980 671006620172 838758275215 958580885960 1342013240344 1677516550430 1917161771920 2684026480688 3355033100860 6710066201720 13420132403440