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2400142023324 = 22359781252457
BaseRepresentation
bin100010111011010011100…
…111001101101010011100
322111110012000122202100000
4202323103213031222130
5303310442324221244
65034335433134300
7335255520404163
oct42732347155234
98443160582300
102400142023324
11845992667431
123291b685a390
1314544243a986
148424b8623da
15426770cc169
hex22ed39cda9c

2400142023324 has 72 divisors (see below), whose sum is σ = 6292398509488. Its totient is φ = 799962376320.

The previous prime is 2400142023313. The next prime is 2400142023379. The reversal of 2400142023324 is 4233202410042.

2400142023324 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 1 + 420 + 233 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9380904 + ... + 9633360.

Almost surely, 22400142023324 is an apocalyptic number.

It is an amenable number.

2400142023324 is an abundant number, since it is smaller than the sum of its proper divisors (3892256486164).

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

2400142023324 is a wasteful number, since it uses less digits than its factorization.

2400142023324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262257 (or 262243 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2400142023324 its reverse (4233202410042), we get a palindrome (6633344433366).

The spelling of 2400142023324 in words is "two trillion, four hundred billion, one hundred forty-two million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 9781 19562 29343 39124 58686 88029 117372 176058 252457 264087 352116 504914 528174 757371 792261 1009828 1056348 1514742 1584522 2272113 2376783 3029484 3169044 4544226 4753566 6816339 9088452 9507132 13632678 20449017 27265356 40898034 61347051 81796068 122694102 245388204 2469281917 4938563834 7407845751 9877127668 14815691502 22223537253 29631383004 44447074506 66670611759 88894149012 133341223518 200011835277 266682447036 400023670554 600035505831 800047341108 1200071011662 2400142023324