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155141448960 = 2835316712757
BaseRepresentation
bin1001000001111100100…
…1101010010100000000
3112211110002000011221010
42100133021222110000
510020212202331320
6155134311400520
714131356362241
oct2203711522400
9484402004833
10155141448960
115a882337923
1226098683140
1311825804a54
14771a552cc8
154080176ae0
hex241f26a500

155141448960 has 144 divisors (see below), whose sum is σ = 495678306816. Its totient is φ = 41354747904.

The previous prime is 155141448949. The next prime is 155141448967. The reversal of 155141448960 is 69844141551.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155141448967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12154902 + ... + 12167658.

It is an arithmetic number, because the mean of its divisors is an integer number (3442210464).

Almost surely, 2155141448960 is an apocalyptic number.

155141448960 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 155141448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247839153408).

155141448960 is an abundant number, since it is smaller than the sum of its proper divisors (340536857856).

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

155141448960 is a wasteful number, since it uses less digits than its factorization.

155141448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15948 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 155141448960 in words is "one hundred fifty-five billion, one hundred forty-one million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3167 3840 6334 9501 12668 12757 15835 19002 25336 25514 31670 38004 38271 47505 50672 51028 63340 63785 76008 76542 95010 101344 102056 126680 127570 152016 153084 190020 191355 202688 204112 253360 255140 304032 306168 380040 382710 405376 408224 506720 510280 608064 612336 760080 765420 810752 816448 1013440 1020560 1216128 1224672 1520160 1530840 1632896 2026880 2041120 2432256 2449344 3040320 3061680 3265792 4053760 4082240 4898688 6080640 6123360 8164480 9797376 12161280 12246720 16328960 24493440 40401419 48986880 80802838 121204257 161605676 202007095 242408514 323211352 404014190 484817028 606021285 646422704 808028380 969634056 1212042570 1292845408 1616056760 1939268112 2424085140 2585690816 3232113520 3878536224 4848170280 5171381632 6464227040 7757072448 9696340560 10342763264 12928454080 15514144896 19392681120 25856908160 31028289792 38785362240 51713816320 77570724480 155141448960