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154021414000 = 2453148351929
BaseRepresentation
bin1000111101110001100…
…1000100010001110000
3112201120000110111210211
42033130121010101300
510010413440222000
6154431221233504
714061536263216
oct2173431042160
9481500414724
10154021414000
115a358088aa3
1225a25562894
13116a775aa7c
1476518bacb6
154016b847ba
hex23dc644470

154021414000 has 80 divisors (see below), whose sum is σ = 372682084320. Its totient is φ = 61565836800.

The previous prime is 154021413961. The next prime is 154021414049. The reversal of 154021414000 is 414120451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940036 + ... + 2991964.

It is an arithmetic number, because the mean of its divisors is an integer number (4658526054).

Almost surely, 2154021414000 is an apocalyptic number.

154021414000 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 154021414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186341042160).

154021414000 is an abundant number, since it is smaller than the sum of its proper divisors (218660670320).

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

154021414000 is a wasteful number, since it uses less digits than its factorization.

154021414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53435 (or 53419 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 154021414000 its reverse (414120451), we get a palindrome (154435534451).

The spelling of 154021414000 in words is "one hundred fifty-four billion, twenty-one million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1483 2000 2966 5932 7415 11864 14830 23728 29660 37075 51929 59320 74150 103858 118640 148300 185375 207716 259645 296600 370750 415432 519290 593200 741500 830864 1038580 1298225 1483000 2077160 2596450 2966000 4154320 5192900 6491125 10385800 12982250 20771600 25964500 51929000 77010707 103858000 154021414 308042828 385053535 616085656 770107070 1232171312 1540214140 1925267675 3080428280 3850535350 6160856560 7701070700 9626338375 15402141400 19252676750 30804282800 38505353500 77010707000 154021414000