Search a number
-
+
3414433106644 = 2277926910875279
BaseRepresentation
bin110001101011111100000…
…100101000101011010100
3110002102020201021102122021
4301223330010220223110
5421420224333403034
611132322515142524
7501453556353160
oct61537404505324
913072221242567
103414433106644
1110a706452478a
124718a68a4a44
131b9c97410721
14bb38bcb3ca0
155dc3d2c36b4
hex31afc128ad4

3414433106644 has 96 divisors (see below), whose sum is σ = 6948716544000. Its totient is φ = 1437837657984.

The previous prime is 3414433106587. The next prime is 3414433106753. The reversal of 3414433106644 is 4466013344143.

It is a self number, because there is not a number n which added to its sum of digits gives 3414433106644.

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, 646792797 + ... + 646798075.

It is an arithmetic number, because the mean of its divisors is an integer number (72382464000).

Almost surely, 23414433106644 is an apocalyptic number.

It is an amenable number.

3414433106644 is an abundant number, since it is smaller than the sum of its proper divisors (3534283437356).

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

3414433106644 is a wasteful number, since it uses less digits than its factorization.

3414433106644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 3414433106644 in words is "three trillion, four hundred fourteen billion, four hundred thirty-three million, one hundred six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 79 158 269 316 538 553 1076 1087 1106 1883 2174 2212 3766 4348 5279 7532 7609 10558 15218 21116 21251 30436 36953 42502 73906 85004 85873 147812 148757 171746 292403 297514 343492 417041 584806 595028 601111 834082 1169612 1202222 1420051 1668164 2046821 2404444 2840102 2919287 4093642 5680204 5738273 5838574 8187284 9940357 11476546 11677148 19880714 22953092 23099837 39761428 40167911 46199674 80335822 92399348 112184029 160671644 161698859 224368058 323397718 448736116 453323567 646795436 785288203 906647134 1543595437 1570576406 1813294268 3087190874 3141152812 3173264969 6174381748 6346529938 10805168059 12693059876 21610336118 43220672236 121944039523 243888079046 487776158092 853608276661 1707216553322 3414433106644