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40021303100 = 225217137227757
BaseRepresentation
bin100101010001011101…
…001001111100111100
310211022011010211212012
4211101131021330330
51123430423144400
630215135230352
72614523314652
oct452135117474
9124264124765
1040021303100
1115a77a89409
12790b0783b8
133a0a600b4c
141d19354dd2
1510937e3d35
hex951749f3c

40021303100 has 144 divisors (see below), whose sum is σ = 93156975072. Its totient is φ = 14871306240.

The previous prime is 40021303081. The next prime is 40021303109. The reversal of 40021303100 is 130312004.

It is a super-2 number, since 2×400213031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40021303109) by changing a digit.

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, 52867922 + ... + 52868678.

It is an arithmetic number, because the mean of its divisors is an integer number (646923438).

Almost surely, 240021303100 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 40021303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46578487536).

40021303100 is an abundant number, since it is smaller than the sum of its proper divisors (53135671972).

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

40021303100 is a wasteful number, since it uses less digits than its factorization.

40021303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 40021303100 its reverse (130312004), we get a palindrome (40151615104).

The spelling of 40021303100 in words is "forty billion, twenty-one million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 137 170 227 274 340 425 454 548 685 757 850 908 1135 1370 1514 1700 2270 2329 2740 3028 3425 3785 3859 4540 4658 5675 6850 7570 7718 9316 11350 11645 12869 13700 15140 15436 18925 19295 22700 23290 25738 31099 37850 38590 46580 51476 58225 62198 64345 75700 77180 96475 103709 116450 124396 128690 155495 171839 192950 207418 232900 257380 310990 321725 343678 385900 414836 518545 528683 621980 643450 687356 777475 859195 1037090 1057366 1286900 1554950 1718390 1763053 2074180 2114732 2592725 2643415 2921263 3109900 3436780 3526106 4295975 5185450 5286830 5842526 7052212 8591950 8815265 10370900 10573660 11685052 13217075 14606315 17183900 17630530 23541943 26434150 29212630 35261060 44076325 47083886 52868300 58425260 73031575 88152650 94167772 117709715 146063150 176305300 235419430 292126300 400213031 470838860 588548575 800426062 1177097150 1600852124 2001065155 2354194300 4002130310 8004260620 10005325775 20010651550 40021303100