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154004513340 = 223517295206373
BaseRepresentation
bin1000111101101101100…
…0100110001000111100
3112201111211122212110110
42033123120212020330
510010400123411330
6154425415110020
714061242523156
oct2173330461074
9481454585413
10154004513340
115a349595307
1225a1b972310
13116a40c1292
14764d55bad6
154015446db0
hex23db62623c

154004513340 has 96 divisors (see below), whose sum is σ = 472322249280. Its totient is φ = 37319274496.

The previous prime is 154004513339. The next prime is 154004513353. The reversal of 154004513340 is 43315400451.

154004513340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 154004513298 and 154004513307.

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 31 ways as a sum of consecutive naturals, for example, 2573607 + ... + 2632766.

It is an arithmetic number, because the mean of its divisors is an integer number (4920023430).

Almost surely, 2154004513340 is an apocalyptic number.

154004513340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154004513340 is an abundant number, since it is smaller than the sum of its proper divisors (318317735940).

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

154004513340 is a wasteful number, since it uses less digits than its factorization.

154004513340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206431 (or 5206429 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 154004513340 its reverse (43315400451), we get a palindrome (197319913791).

The spelling of 154004513340 in words is "one hundred fifty-four billion, four million, five hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 9860 14790 29580 5206373 10412746 15619119 20825492 26031865 31238238 52063730 62476476 78095595 88508341 104127460 150984817 156191190 177016682 265525023 301969634 312382380 354033364 442541705 452954451 531050046 603939268 754924085 885083410 905908902 1062100092 1327625115 1509848170 1770166820 1811817804 2264772255 2566741889 2655250230 3019696340 4529544510 5133483778 5310500460 7700225667 9059089020 10266967556 12833709445 15400451334 25667418890 30800902668 38501128335 51334837780 77002256670 154004513340