Search a number
-
+
150374614000 = 24531331186569
BaseRepresentation
bin1000110000001100000…
…1101000001111110000
3112101010212100212200011
42030003001220033300
54430431400122000
6153025305504304
713602265062232
oct2140301501760
9471125325604
10150374614000
11588566051a6
12251881a2094
1311246072c50
1473c7428252
153da192b2ba
hex23030683f0

150374614000 has 160 divisors (see below), whose sum is σ = 404209128960. Its totient is φ = 53731584000.

The previous prime is 150374613997. The next prime is 150374614001. The reversal of 150374614000 is 416473051.

It is a super-2 number, since 2×1503746140002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150374614001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712716 + ... + 899284.

It is an arithmetic number, because the mean of its divisors is an integer number (2526307056).

Almost surely, 2150374614000 is an apocalyptic number.

150374614000 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 150374614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202104564480).

150374614000 is an abundant number, since it is smaller than the sum of its proper divisors (253834514960).

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

150374614000 is a wasteful number, since it uses less digits than its factorization.

150374614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186636 (or 186620 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 150374614000 in words is "one hundred fifty billion, three hundred seventy-four million, six hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 125 130 155 200 208 248 250 260 310 325 400 403 496 500 520 620 650 775 806 1000 1040 1240 1300 1550 1612 1625 2000 2015 2480 2600 3100 3224 3250 3875 4030 5200 6200 6448 6500 7750 8060 10075 12400 13000 15500 16120 20150 26000 31000 32240 40300 50375 62000 80600 100750 161200 186569 201500 373138 403000 746276 806000 932845 1492552 1865690 2425397 2985104 3731380 4664225 4850794 5783639 7462760 9328450 9701588 11567278 12126985 14925520 18656900 19403176 23134556 23321125 24253970 28918195 37313800 38806352 46269112 46642250 48507940 57836390 60634925 74627600 75187307 92538224 93284500 97015880 115672780 121269850 144590975 150374614 186569000 194031760 231345560 242539700 289181950 300749228 303174625 373138000 375936535 462691120 485079400 578363900 601498456 606349250 722954875 751873070 970158800 1156727800 1202996912 1212698500 1445909750 1503746140 1879682675 2313455600 2425397000 2891819500 3007492280 3759365350 4850794000 5783639000 6014984560 7518730700 9398413375 11567278000 15037461400 18796826750 30074922800 37593653500 75187307000 150374614000