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233545352104140 = 223519992772063563
BaseRepresentation
bin110101000110100010000011…
…110000000100100011001100
31010121220201101010210101212220
4311012202003300010203030
5221102401340114313030
62144413130440255340
7100123044353455446
oct6506420360044314
91117821333711786
10233545352104140
116846203382567a
122223a7a1a71550
13a0413031cba6b
144195926413496
151c000b59d0a10
hexd46883c048cc

233545352104140 has 96 divisors (see below), whose sum is σ = 688351462821120. Its totient is φ = 59000308160256.

The previous prime is 233545352104117. The next prime is 233545352104147. The reversal of 233545352104140 is 41401253545332.

It is a junction number, because it is equal to n+sod(n) for n = 233545352104092 and 233545352104101.

It is not an unprimeable number, because it can be changed into a prime (233545352104147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112143999 + ... + 114207561.

It is an arithmetic number, because the mean of its divisors is an integer number (7170327737720).

Almost surely, 2233545352104140 is an apocalyptic number.

233545352104140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233545352104140 is an abundant number, since it is smaller than the sum of its proper divisors (454806110716980).

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

233545352104140 is a wasteful number, since it uses less digits than its factorization.

233545352104140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162871 (or 2162869 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 233545352104140 in words is "two hundred thirty-three trillion, five hundred forty-five billion, three hundred fifty-two million, one hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 99277 198554 297831 397108 496385 595662 992770 1191324 1489155 1886263 1985540 2063563 2978310 3772526 4127126 5658789 5956620 6190689 7545052 8254252 9431315 10317815 11317578 12381378 18862630 20635630 22635156 24762756 28293945 30953445 37725260 39207697 41271260 56587890 61906890 78415394 113175780 117623091 123813780 156830788 196038485 235246182 392076970 470492364 588115455 784153940 1176230910 2352461820 204864343951 409728687902 614593031853 819457375804 1024321719755 1229186063706 2048643439510 2458372127412 3072965159265 3892422535069 4097286879020 6145930318530 7784845070138 11677267605207 12291860637060 15569690140276 19462112675345 23354535210414 38924225350690 46709070420828 58386338026035 77848450701380 116772676052070 233545352104140