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1361404614174 = 23113718119315959
BaseRepresentation
bin10011110011111010000…
…010011101011000011110
311211011000121222001101120
4103303322002131120132
5134301124040123144
62521230505351410
7200233606200213
oct23637202353036
94734017861346
101361404614174
1148540645a710
1219ba23798566
139b4c285a377
1449c6c7d1b0a
152562eb2ee19
hex13cfa09d61e

1361404614174 has 128 divisors (see below), whose sum is σ = 3083557800960. Its totient is φ = 397086105600.

The previous prime is 1361404614127. The next prime is 1361404614181. The reversal of 1361404614174 is 4714164041631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85298407 + ... + 85314365.

It is an arithmetic number, because the mean of its divisors is an integer number (24090295320).

Almost surely, 21361404614174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361404614174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541778900480).

1361404614174 is an abundant number, since it is smaller than the sum of its proper divisors (1722153186786).

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

1361404614174 is a wasteful number, since it uses less digits than its factorization.

1361404614174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16386.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1361404614174 in words is "one trillion, three hundred sixty-one billion, four hundred four million, six hundred fourteen thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 181 193 222 362 386 407 543 579 814 1086 1158 1221 1991 2123 2442 3982 4246 5973 6369 6697 7141 11946 12738 13394 14282 15959 20091 21423 31918 34933 40182 42846 47877 69866 73667 78551 95754 104799 147334 157102 175549 209598 221001 235653 351098 384263 442002 471306 526647 590483 768526 1053294 1152789 1180966 1292521 1771449 2305578 2585042 2888579 3080087 3542898 3877563 5777158 6160174 6495313 7755126 8665737 9240261 12990626 14217731 17331474 18480522 19485939 28435462 31774369 33880957 38971878 42653193 63548738 67761914 85306386 95323107 101642871 106877423 113963219 190646214 203285742 213754846 227926438 320632269 341889657 557495747 641264538 683779314 1114991494 1175651653 1253595409 1672487241 2351303306 2507190818 3344974482 3526954959 3760786227 6132453217 7053909918 7521572454 12264906434 18397359651 20627342639 36794719302 41254685278 61882027917 123764055834 226900769029 453801538058 680702307087 1361404614174