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41165024124 = 22373197162973
BaseRepresentation
bin100110010101101000…
…000110101101111100
310221020212020220011010
4212111220012231330
51133301221232444
630524433155220
72655051634410
oct462550065574
9127225226133
1041165024124
11165046459a4
127b8a0bbb10
133b6054bc53
141dc71d4d40
15110de142b9
hex995a06b7c

41165024124 has 96 divisors (see below), whose sum is σ = 114483367936. Its totient is φ = 11264624640.

The previous prime is 41165024113. The next prime is 41165024141. The reversal of 41165024124 is 42142056114.

41165024124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411650241242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41165024091 and 41165024100.

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, 171102 + ... + 334074.

Almost surely, 241165024124 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 41165024124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57241683968).

41165024124 is an abundant number, since it is smaller than the sum of its proper divisors (73318343812).

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

41165024124 is a wasteful number, since it uses less digits than its factorization.

41165024124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163115 (or 163113 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 41165024124 in words is "forty-one billion, one hundred sixty-five million, twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 97 124 186 194 217 291 372 388 434 582 651 679 868 1164 1302 1358 2037 2604 2716 3007 4074 6014 8148 9021 12028 18042 21049 36084 42098 63147 84196 126294 162973 252588 325946 488919 651892 977838 1140811 1955676 2281622 3422433 4563244 5052163 6844866 10104326 13689732 15156489 15808381 20208652 30312978 31616762 35365141 47425143 60625956 63233524 70730282 94850286 106095423 110658667 141460564 189700572 212190846 221317334 331976001 424381692 442634668 490059811 663952002 980119622 1327904004 1470179433 1960239244 2940358866 3430418677 5880717732 6860837354 10291256031 13721674708 20582512062 41165024124