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155301214140 = 22345221343319
BaseRepresentation
bin1001000010100010101…
…1000111011110111100
3112211212012122002120000
42100220223013132330
510021024102323030
6155202215554300
714135336353032
oct2205053073674
9484765562500
10155301214140
115a954539866
122612208b990
131184c942667
147733860552
15408e1d4860
hex2428ac77bc

155301214140 has 120 divisors (see below), whose sum is σ = 487417059360. Its totient is φ = 41393987712.

The previous prime is 155301214139. The next prime is 155301214177. The reversal of 155301214140 is 41412103551.

155301214140 is a `hidden beast` number, since 1 + 5 + 5 + 301 + 214 + 140 = 666.

155301214140 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 2×1553012141402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3563401 + ... + 3606719.

It is an arithmetic number, because the mean of its divisors is an integer number (4061808828).

Almost surely, 2155301214140 is an apocalyptic number.

155301214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155301214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243708529680).

155301214140 is an abundant number, since it is smaller than the sum of its proper divisors (332115845220).

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

155301214140 is a wasteful number, since it uses less digits than its factorization.

155301214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45553 (or 45542 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 155301214140 its reverse (41412103551), we get a palindrome (196713317691).

The spelling of 155301214140 in words is "one hundred fifty-five billion, three hundred one million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2213 4426 6639 8852 11065 13278 19917 22130 26556 33195 39834 43319 44260 59751 66390 79668 86638 99585 119502 129957 132780 173276 179253 199170 216595 239004 259914 298755 358506 389871 398340 433190 519828 597510 649785 717012 779742 866380 896265 1169613 1195020 1299570 1559484 1792530 1949355 2339226 2599140 3508839 3585060 3898710 4678452 5848065 7017678 7797420 11696130 14035356 17544195 23392260 35088390 70176780 95864947 191729894 287594841 383459788 479324735 575189682 862784523 958649470 1150379364 1437974205 1725569046 1917298940 2588353569 2875948410 3451138092 4313922615 5176707138 5751896820 7765060707 8627845230 10353414276 12941767845 15530121414 17255690460 25883535690 31060242828 38825303535 51767071380 77650607070 155301214140