Search a number
-
+
154701442740 = 2235131553127711
BaseRepresentation
bin1001000000010011101…
…1001010111010110100
3112210022102001112212110
42100010323022322310
510013312032131430
6155022512451020
714114434365255
oct2200473127264
9483272045773
10154701442740
115a676a27719
1225b95249a70
13117855c6b40
1476b7d36b2c
15405670e7b0
hex2404ecaeb4

154701442740 has 96 divisors (see below), whose sum is σ = 466788381696. Its totient is φ = 38055536640.

The previous prime is 154701442717. The next prime is 154701442747. The reversal of 154701442740 is 47244107451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154701442747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147485 + ... + 1275195.

It is an arithmetic number, because the mean of its divisors is an integer number (4862378976).

Almost surely, 2154701442740 is an apocalyptic number.

154701442740 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 154701442740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233394190848).

154701442740 is an abundant number, since it is smaller than the sum of its proper divisors (312086938956).

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

154701442740 is a wasteful number, since it uses less digits than its factorization.

154701442740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129289 (or 129287 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 154701442740 in words is "one hundred fifty-four billion, seven hundred one million, four hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1553 3106 4659 6212 7765 9318 15530 18636 20189 23295 31060 40378 46590 60567 80756 93180 100945 121134 127711 201890 242268 255422 302835 383133 403780 510844 605670 638555 766266 1211340 1277110 1532532 1660243 1915665 2554220 3320486 3831330 4980729 6640972 7662660 8301215 9961458 16602430 19922916 24903645 33204860 49807290 99614580 198335183 396670366 595005549 793340732 991675915 1190011098 1983351830 2380022196 2578357379 2975027745 3966703660 5156714758 5950055490 7735072137 10313429516 11900110980 12891786895 15470144274 25783573790 30940288548 38675360685 51567147580 77350721370 154701442740