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1023302434434 = 237473495032953
BaseRepresentation
bin11101110010000011001…
…00111111111010000010
310121211022201001202010020
432321001210333322002
5113231210410400214
62102033150314310
7133634250114450
oct16710144777202
93554281052106
101023302434434
11364a86601875
121463a5ab8996
137565cbc8897
143775717d9d0
151b9423b64a9
hexee4193fe82

1023302434434 has 128 divisors (see below), whose sum is σ = 2401162444800. Its totient is φ = 284667830784.

The previous prime is 1023302434409. The next prime is 1023302434463. The reversal of 1023302434434 is 4344342033201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1023302434395 and 1023302434404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346528302 + ... + 346531254.

It is an arithmetic number, because the mean of its divisors is an integer number (18759081600).

Almost surely, 21023302434434 is an apocalyptic number.

1023302434434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023302434434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200581222400).

1023302434434 is an abundant number, since it is smaller than the sum of its proper divisors (1377860010366).

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

1023302434434 is a wasteful number, since it uses less digits than its factorization.

1023302434434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 1023302434434 its reverse (4344342033201), we get a palindrome (5367644467635).

The spelling of 1023302434434 in words is "one trillion, twenty-three billion, three hundred two million, four hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 349 503 658 698 987 1006 1047 1509 1974 2094 2443 2953 3018 3521 4886 5906 7042 7329 8859 10563 14658 16403 17718 20671 21126 23641 32806 41342 47282 49209 62013 70923 98418 114821 124026 138791 141846 165487 175547 229642 277582 330974 344463 351094 416373 496461 526641 688926 832746 971537 992922 1030597 1053282 1228829 1485359 1943074 2061194 2457658 2914611 2970718 3091791 3686487 4456077 5829222 6183582 7214179 7372974 8250709 8912154 10397513 14428358 16501418 20795026 21642537 24752127 31192539 43285074 48438059 49504254 57754963 62385078 69811873 96876118 115509926 139623746 145314177 173264889 209435619 290628354 339066413 346529778 418871238 488683111 518390291 678132826 977366222 1017199239 1036780582 1466049333 1555170873 2034398478 2932098666 3110341746 3628732037 7257464074 10886196111 21772392222 24364343677 48728687354 73093031031 146186062062 170550405739 341100811478 511651217217 1023302434434