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34051215450 = 2352741790969
BaseRepresentation
bin11111101101100111…
…000101000001011010
310020220002100222012210
4133231213011001122
51024214102343300
623350511415550
72313551361420
oct375547050132
9106802328183
1034051215450
111349402917a
1267238245b6
1332987a91c5
1419104d1110
15d44619050
hex7ed9c505a

34051215450 has 96 divisors (see below), whose sum is σ = 98864922240. Its totient is φ = 7593292800.

The previous prime is 34051215449. The next prime is 34051215479. The reversal of 34051215450 is 5451215043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 352435 + ... + 438534.

It is an arithmetic number, because the mean of its divisors is an integer number (1029842940).

Almost surely, 234051215450 is an apocalyptic number.

34051215450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34051215450 is an abundant number, since it is smaller than the sum of its proper divisors (64813706790).

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

34051215450 is a wasteful number, since it uses less digits than its factorization.

34051215450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791032 (or 791027 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 34051215450 in words is "thirty-four billion, fifty-one million, two hundred fifteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1230 1435 1722 2050 2870 3075 4305 6150 7175 8610 14350 21525 43050 790969 1581938 2372907 3954845 4745814 5536783 7909690 11073566 11864535 16610349 19774225 23729070 27683915 32429729 33220698 39548450 55367830 59322675 64859458 83051745 97289187 118645350 138419575 162148645 166103490 194578374 227008103 276839150 324297290 415258725 454016206 486445935 681024309 810743225 830517450 972891870 1135040515 1362048618 1621486450 2270081030 2432229675 3405121545 4864459350 5675202575 6810243090 11350405150 17025607725 34051215450