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2342045746300 = 2252132351766301
BaseRepresentation
bin100010000101001100110…
…011100000010001111100
322021220020012021002120011
4202011030303200101330
5301333002202340200
64551530532233004
7331131035243221
oct42051463402174
98256205232504
102342045746300
1182328a848647
12319aa246b764
1313cb14218ab0
14814d9b65948
1540dc6a705ba
hex2214cce047c

2342045746300 has 72 divisors (see below), whose sum is σ = 5475515919552. Its totient is φ = 864386400000.

The previous prime is 2342045746291. The next prime is 2342045746349. The reversal of 2342045746300 is 36475402432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673150 + ... + 3439450.

It is an arithmetic number, because the mean of its divisors is an integer number (76048832216).

Almost surely, 22342045746300 is an apocalyptic number.

2342045746300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342045746300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737757959776).

2342045746300 is an abundant number, since it is smaller than the sum of its proper divisors (3133470173252).

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

2342045746300 is a wasteful number, since it uses less digits than its factorization.

2342045746300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768679 (or 768672 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 2342045746300 in words is "two trillion, three hundred forty-two billion, forty-five million, seven hundred forty-six thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2351 4702 9404 11755 23510 30563 47020 58775 61126 117550 122252 152815 235100 305630 611260 764075 766301 1528150 1532602 3056300 3065204 3831505 7663010 9961913 15326020 19157525 19923826 38315050 39847652 49809565 76630100 99619130 199238260 249047825 498095650 996191300 1801573651 3603147302 7206294604 9007868255 18015736510 23420457463 36031473020 45039341275 46840914926 90078682550 93681829852 117102287315 180157365100 234204574630 468409149260 585511436575 1171022873150 2342045746300