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34031545443 = 3372953193607
BaseRepresentation
bin11111101100011100…
…000010110001100011
310020211201100122001000
4133230130002301203
51024144033423233
623344530043043
72313222235440
oct375434026143
9106751318030
1034031545443
1113483a13875
126719119483
1332946b004c
14190ba509c7
15d42a30d13
hex7ec702c63

34031545443 has 128 divisors (see below), whose sum is σ = 61146316800. Its totient is φ = 18296119296.

The previous prime is 34031545441. The next prime is 34031545477. The reversal of 34031545443 is 34454513043.

34031545443 is a `hidden beast` number, since 3 + 40 + 31 + 545 + 4 + 43 = 666.

It is not a de Polignac number, because 34031545443 - 21 = 34031545441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34031545398 and 34031545407.

It is not an unprimeable number, because it can be changed into a prime (34031545441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56064846 + ... + 56065452.

It is an arithmetic number, because the mean of its divisors is an integer number (477705600).

Almost surely, 234031545443 is an apocalyptic number.

34031545443 is a deficient number, since it is larger than the sum of its proper divisors (27114771357).

34031545443 is a wasteful number, since it uses less digits than its factorization.

34031545443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34031545443 in words is "thirty-four billion, thirty-one million, five hundred forty-five thousand, four hundred forty-three".

Divisors: 1 3 7 9 21 27 29 53 63 87 159 189 193 203 261 371 477 579 607 609 783 1113 1351 1431 1537 1737 1821 1827 3339 4053 4249 4611 5211 5463 5481 5597 10017 10229 10759 12159 12747 13833 16389 16791 17603 30687 32171 32277 36477 38241 39179 41499 50373 52809 71603 92061 96513 96831 114723 117151 117537 123221 151119 158427 214809 225197 276183 289539 290493 296641 351453 352611 369663 475281 644427 675591 820057 868617 889923 932959 1054359 1057833 1108989 1933281 2026773 2076487 2460171 2669769 2798877 3163077 3326967 3397379 6080319 6209003 6229461 6530713 7380513 8009307 8396631 10192137 18627009 18688383 19592139 22141539 23781653 25189893 30576411 43463021 55881027 56065149 58776417 71344959 91729233 130389063 167643081 176329251 180061087 214034877 391167189 540183261 642104631 1173501567 1260427609 1620549783 3781282827 4861649349 11343848481 34031545443