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34551045040 = 2453113931873
BaseRepresentation
bin100000001011011001…
…110001101110110000
310022011220212221111211
4200023121301232300
51031230031420130
623512244445504
72332131015511
oct401331615660
9108156787454
1034551045040
1113720189586
1268430a9894
133348201865
14195aa40a08
15d7344ba2a
hex80b671bb0

34551045040 has 40 divisors (see below), whose sum is σ = 82922514048. Its totient is φ = 13374597120.

The previous prime is 34551044959. The next prime is 34551045049. The reversal of 34551045040 is 4054015543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×345510450402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 34551044993 and 34551045011.

It is not an unprimeable number, because it can be changed into a prime (34551045049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6963457 + ... + 6968416.

Almost surely, 234551045040 is an apocalyptic number.

It is an amenable number.

34551045040 is an abundant number, since it is smaller than the sum of its proper divisors (48371469008).

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

34551045040 is a wasteful number, since it uses less digits than its factorization.

34551045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13931917 (or 13931911 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 34551045040 in words is "thirty-four billion, five hundred fifty-one million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 13931873 27863746 55727492 69659365 111454984 139318730 222909968 278637460 431888063 557274920 863776126 1114549840 1727552252 2159440315 3455104504 4318880630 6910209008 8637761260 17275522520 34551045040