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13642241140 = 22511371675951
BaseRepresentation
bin11001011010010010…
…00001010001110100
31022012202021122200101
430231021001101310
5210414403204030
610133412323444
7662032064533
oct145511012164
938182248611
1013642241140
115870764760
122788913584
13139546a248
14935b8a31a
1554ca157ca
hex32d241474

13642241140 has 48 divisors (see below), whose sum is σ = 32097832704. Its totient is φ = 4826736000.

The previous prime is 13642241131. The next prime is 13642241143. The reversal of 13642241140 is 4114224631.

It is a super-2 number, since 2×136422411402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13642241099 and 13642241108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642241143) 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, 829836 + ... + 846115.

It is an arithmetic number, because the mean of its divisors is an integer number (668704848).

Almost surely, 213642241140 is an apocalyptic number.

13642241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642241140 is an abundant number, since it is smaller than the sum of its proper divisors (18455591564).

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

13642241140 is a wasteful number, since it uses less digits than its factorization.

13642241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676008 (or 1676006 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13642241140 its reverse (4114224631), we get a palindrome (17756465771).

The spelling of 13642241140 in words is "thirteen billion, six hundred forty-two million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 1675951 3351902 6703804 8379755 16759510 18435461 33519020 36870922 62010187 73741844 92177305 124020374 184354610 248040748 310050935 368709220 620101870 682112057 1240203740 1364224114 2728448228 3410560285 6821120570 13642241140