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354143451640 = 23511292957041
BaseRepresentation
bin1010010011101001001…
…10000011100111111000
31020212002212101100110211
411021310212003213320
521300241210423030
6430405151120504
734405001446126
oct5116446034770
91225085340424
10354143451640
11127211822950
1258775b13134
132751b138464
14131d7c88916
15932abb312a
hex52749839f8

354143451640 has 96 divisors (see below), whose sum is σ = 900270268560. Its totient is φ = 124338636800.

The previous prime is 354143451617. The next prime is 354143451647. The reversal of 354143451640 is 46154341453.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 354143451593 and 354143451602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354143451647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 108481 + ... + 848560.

Almost surely, 2354143451640 is an apocalyptic number.

It is an amenable number.

354143451640 is an abundant number, since it is smaller than the sum of its proper divisors (546126816920).

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

354143451640 is a wasteful number, since it uses less digits than its factorization.

354143451640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957121 (or 957088 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 354143451640 in words is "three hundred fifty-four billion, one hundred forty-three million, four hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 841 1160 1276 1595 1682 2552 3190 3364 4205 6380 6728 8410 9251 12760 16820 18502 33640 37004 46255 74008 92510 185020 370040 957041 1914082 3828164 4785205 7656328 9570410 10527451 19140820 21054902 27754189 38281640 42109804 52637255 55508378 84219608 105274510 111016756 138770945 210549020 222033512 277541890 305296079 421098040 555083780 610592158 804871481 1110167560 1221184316 1526480395 1609742962 2442368632 3052960790 3219485924 4024357405 6105921580 6438971848 8048714810 8853586291 12211843160 16097429620 17707172582 32194859240 35414345164 44267931455 70828690328 88535862910 177071725820 354143451640