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40235263257345 = 35137165311094013
BaseRepresentation
bin10010010011000000000001…
…00100101110101100000001
312021110110020200020202221020
421021200000210232230001
520233203304343213340
6221323454052220053
711321621221533132
oct1111400044565401
9167413220222836
1040235263257345
11119027521a5462
124619a4430a629
13195b227512390
149d157ba33c89
1549b928dc39d0
hex24980092eb01

40235263257345 has 128 divisors (see below), whose sum is σ = 70493629086720. Its totient is φ = 19476797706240.

The previous prime is 40235263257341. The next prime is 40235263257361. The reversal of 40235263257345 is 54375236253204.

It is not a de Polignac number, because 40235263257345 - 22 = 40235263257341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40235263257341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10026228559 + ... + 10026232571.

It is an arithmetic number, because the mean of its divisors is an integer number (550731477240).

Almost surely, 240235263257345 is an apocalyptic number.

It is an amenable number.

40235263257345 is a deficient number, since it is larger than the sum of its proper divisors (30258365829375).

40235263257345 is a wasteful number, since it uses less digits than its factorization.

40235263257345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867.

The product of its (nonzero) digits is 18144000, while the sum is 51.

The spelling of 40235263257345 in words is "forty trillion, two hundred thirty-five billion, two hundred sixty-three million, two hundred fifty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 71 195 213 355 653 923 1065 1109 1959 2769 3265 3327 4013 4615 5545 8489 9795 12039 13845 14417 16635 20065 25467 42445 43251 46363 52169 60195 72085 78739 127335 139089 156507 216255 231815 236217 260845 284923 393695 602719 695445 724177 782535 854769 1023607 1181085 1424615 1808157 2172531 2620489 3013595 3070821 3620885 3703999 4273845 4450417 5118035 7861467 9040785 9414301 10862655 11111997 13102445 13351251 15354105 18519995 22252085 28242903 34066357 39307335 47071505 51416567 55559985 57855421 66756255 102199071 141214515 154249701 170331785 173566263 186054719 257082835 289277105 315979607 510995355 558164157 668415371 771248505 867831315 930273595 947938821 1579898035 2005246113 2418711347 2790820785 2906122301 3342076855 4107734891 4739694105 7256134041 8718366903 10026230565 12093556735 12323204673 14530611505 20538674455 36280670205 37779589913 43591834515 61616023365 113338769739 188897949565 206334683371 566693848695 619004050113 1031673416855 2682350883823 3095020250565 8047052651469 13411754419115 40235263257345