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40500502224 = 24371346120113
BaseRepresentation
bin100101101110000001…
…001001111011010000
310212112112211200110220
4211232001021323100
51130421112032344
630334454153040
72632432405650
oct455601117320
9125475750426
1040500502224
11161a3528846
127a23652780
133a85982120
141d62c54360
1510c08edc19
hex96e049ed0

40500502224 has 160 divisors (see below), whose sum is σ = 129056573184. Its totient is φ = 10657751040.

The previous prime is 40500502213. The next prime is 40500502283. The reversal of 40500502224 is 42220500504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40500502194 and 40500502203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003592 + ... + 2023704.

Almost surely, 240500502224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40500502224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64528286592).

40500502224 is an abundant number, since it is smaller than the sum of its proper divisors (88556070960).

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

40500502224 is a wasteful number, since it uses less digits than its factorization.

40500502224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20605 (or 20599 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 40500502224 in words is "forty billion, five hundred million, five hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 461 546 624 728 922 1092 1383 1456 1844 2184 2766 3227 3688 4368 5532 5993 6454 7376 9681 11064 11986 12908 17979 19362 20113 22128 23972 25816 35958 38724 40226 41951 47944 51632 60339 71916 77448 80452 83902 95888 120678 125853 140791 143832 154896 160904 167804 241356 251706 261469 281582 287664 321808 335608 422373 482712 503412 522938 563164 671216 784407 844746 965424 1006824 1045876 1126328 1568814 1689492 1830283 2013648 2091752 2252656 3137628 3378984 3660566 4183504 5490849 6275256 6757968 7321132 9272093 10981698 12550512 14642264 18544186 21963396 27816279 29284528 37088372 43926792 55632558 64904651 74176744 87853584 111265116 120537209 129809302 148353488 194713953 222530232 241074418 259618604 361611627 389427906 445060464 482148836 519237208 723223254 778855812 843760463 964297672 1038474416 1446446508 1557711624 1687520926 1928595344 2531281389 2892893016 3115423248 3375041852 5062562778 5785786032 6750083704 10125125556 13500167408 20250251112 40500502224