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40230555156 = 2232112311339089
BaseRepresentation
bin100101011101111011…
…011000111000010100
310211211201212221201100
4211131323120320110
51124343010231111
630252012230100
72622644035161
oct453573307024
9124751787640
1040230555156
11160751105a0
12796916b330
133a41a7742c
141d39065068
1510a6d79756
hex95ded8e14

40230555156 has 144 divisors (see below), whose sum is σ = 116789662080. Its totient is φ = 11557539840.

The previous prime is 40230555061. The next prime is 40230555163. The reversal of 40230555156 is 65155503204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40230555156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009660 + ... + 1048748.

It is an arithmetic number, because the mean of its divisors is an integer number (811039320).

Almost surely, 240230555156 is an apocalyptic number.

40230555156 is a gapful number since it is divisible by the number (46) 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 40230555156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58394831040).

40230555156 is an abundant number, since it is smaller than the sum of its proper divisors (76559106924).

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

40230555156 is a wasteful number, since it uses less digits than its factorization.

40230555156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39246 (or 39241 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 40230555156 in words is "forty billion, two hundred thirty million, five hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 113 132 138 198 207 226 253 276 339 396 414 452 506 678 759 828 1012 1017 1243 1356 1518 2034 2277 2486 2599 3036 3729 4068 4554 4972 5198 7458 7797 9108 10396 11187 14916 15594 22374 23391 28589 31188 39089 44748 46782 57178 78178 85767 93564 114356 117267 156356 171534 234534 257301 343068 351801 429979 469068 514602 703602 859958 899047 1029204 1289937 1407204 1719916 1798094 2579874 2697141 3596188 3869811 4417057 5159748 5394282 7739622 8091423 8834114 9889517 10788564 13251171 15479244 16182846 17668228 19779034 26502342 29668551 32365692 39558068 39753513 48587627 53004684 59337102 79507026 89005653 97175254 101592311 118674204 145762881 159014052 178011306 194350508 203184622 291525762 304776933 356022612 406369244 437288643 583051524 609553866 874577286 914330799 1117515421 1219107732 1749154572 1828661598 2235030842 3352546263 3657323196 4470061684 6705092526 10057638789 13410185052 20115277578 40230555156