Search a number
-
+
2151211541444 = 2272198933119609
BaseRepresentation
bin11111010011011110001…
…100110010001111000100
321121122122122001001020222
4133103132030302033010
5240221140123311234
64324130345043512
7311264012254100
oct37233614621704
97548578031228
102151211541444
1175a361918a59
122a8b04486598
13127b20b19354
14761950d6900
153ae5812742e
hex1f4de3323c4

2151211541444 has 144 divisors (see below), whose sum is σ = 4675855464000. Its totient is φ = 860957475840.

The previous prime is 2151211541441. The next prime is 2151211541459. The reversal of 2151211541444 is 4441451121512.

It is a super-2 number, since 2×21512115414442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2151211541441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109695512 + ... + 109715120.

It is an arithmetic number, because the mean of its divisors is an integer number (32471218500).

Almost surely, 22151211541444 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 2151211541444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337927732000).

2151211541444 is an abundant number, since it is smaller than the sum of its proper divisors (2524643922556).

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

2151211541444 is a wasteful number, since it uses less digits than its factorization.

2151211541444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20066 (or 20057 counting only the distinct ones).

The product of its digits is 25600, while the sum is 35.

Adding to 2151211541444 its reverse (4441451121512), we get a palindrome (6592662662956).

The spelling of 2151211541444 in words is "two trillion, one hundred fifty-one billion, two hundred eleven million, five hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 89 98 133 178 196 266 331 356 532 623 662 931 1246 1324 1691 1862 2317 2492 3382 3724 4361 4634 6289 6764 8722 9268 11837 12578 16219 17444 19609 23674 25156 29459 32438 39218 44023 47348 58918 64876 78436 82859 88046 117836 137263 165718 176092 206213 274526 308161 331436 372571 412426 549052 559721 616322 745142 824852 960841 1119442 1232644 1443491 1490284 1745201 1921682 2238884 2607997 2886982 3490402 3843364 3918047 5215994 5773964 6490579 6980804 7836094 10431988 12216407 12981158 15672188 18255979 24432814 25962316 27426329 33158819 36511958 45434053 48865628 54852658 66317638 73023916 85514849 90868106 109705316 123321001 132635276 171029698 181736212 232111733 246642002 318038371 342059396 464223466 493284004 577661531 636076742 863247007 928446932 1155323062 1272153484 1624782131 1726494014 2310646124 3249564262 3452988028 4043630717 6042729049 6499128524 8087261434 10975569089 12085458098 16174522868 21951138178 24170916196 28305415019 43902276356 56610830038 76828983623 113221660076 153657967246 307315934492 537802885361 1075605770722 2151211541444