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10342040350440 = 2335233747116069
BaseRepresentation
bin1001011001111111000110…
…1001000010111011101000
31100121200121120111100200210
42112133301221002323220
52323420444312203230
633555022344501120
72115121254350211
oct226376151027350
940550546440623
1010342040350440
113328042185897
1211b043447a7a0
135a0333970c26
1427a7b37dc408
1512e0482bbeb0
hex967f1a42ee8

10342040350440 has 64 divisors (see below), whose sum is σ = 32375082844800. Its totient is φ = 2637969711872.

The previous prime is 10342040350349. The next prime is 10342040350459. The reversal of 10342040350440 is 4405304024301.

It is a super-2 number, since 2×103420403504402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10342040350398 and 10342040350407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873555275 + ... + 1873560794.

It is an arithmetic number, because the mean of its divisors is an integer number (505860669450).

Almost surely, 210342040350440 is an apocalyptic number.

10342040350440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342040350440 is an abundant number, since it is smaller than the sum of its proper divisors (22033042494360).

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

10342040350440 is a wasteful number, since it uses less digits than its factorization.

10342040350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747116106 (or 3747116102 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10342040350440 its reverse (4405304024301), we get a palindrome (14747344374741).

The spelling of 10342040350440 in words is "ten trillion, three hundred forty-two billion, forty million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 3747116069 7494232138 11241348207 14988464276 18735580345 22482696414 29976928552 37471160690 44965392828 56206741035 74942321380 86183669587 89930785656 112413482070 149884642760 172367339174 224826964140 258551008761 344734678348 430918347935 449653928280 517102017522 689469356696 861836695870 1034204035044 1292755043805 1723673391740 2068408070088 2585510087610 3447346783480 5171020175220 10342040350440