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134304031440540 = 223251357394885231
BaseRepresentation
bin11110100010011000011000…
…000101011111111010011100
3122121112100011212111102012200
4132202120120011133322130
5120100414124022044130
61153350230440531500
740201101046262223
oct3642303005377234
9577470155442180
10134304031440540
11398800244a4035
1213091030480b90
1359c2a7b48b7a0
1425244c7c19cba
15107d851ae8760
hex7a261815fe9c

134304031440540 has 72 divisors (see below), whose sum is σ = 438726502713408. Its totient is φ = 33059453892480.

The previous prime is 134304031440493. The next prime is 134304031440541. The reversal of 134304031440540 is 45044130403431.

134304031440540 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 40 + 31 + 4 + 40 + 540 = 666.

It is a super-2 number, since 2×1343040314405402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134304031440495 and 134304031440504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134304031440541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28697440276 + ... + 28697444955.

Almost surely, 2134304031440540 is an apocalyptic number.

134304031440540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134304031440540 is an abundant number, since it is smaller than the sum of its proper divisors (304422471272868).

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

134304031440540 is a wasteful number, since it uses less digits than its factorization.

134304031440540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57394885259 (or 57394885254 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 134304031440540 its reverse (45044130403431), we get a palindrome (179348161843971).

The spelling of 134304031440540 in words is "one hundred thirty-four trillion, three hundred four billion, thirty-one million, four hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 57394885231 114789770462 172184655693 229579540924 286974426155 344369311386 516553967079 573948852310 688738622772 746133508003 860923278465 1033107934158 1147897704620 1492267016006 1721846556930 2066215868316 2238400524009 2582769835395 2984534032012 3443693113860 3730667540015 4476801048018 5165539670790 6715201572027 7461335080030 8953602096036 10331079341580 11192002620045 13430403144054 14922670160060 22384005240090 26860806288108 33576007860135 44768010480180 67152015720270 134304031440540